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Steps for Solving Linear Equation
Reduce the fraction to lowest terms by extracting and canceling out .
Expand by multiplying both numerator and the denominator by .
Reduce the fraction to lowest terms by extracting and canceling out .
Least common multiple of and is . Convert and to fractions with denominator .
Since and have the same denominator, add them by adding their numerators.
Add and to get .
Reduce the fraction to lowest terms by extracting and canceling out .
Add and to get .
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of and is . Multiply times . Multiply times .
Since and have the same denominator, add them by adding their numerators.
Do the multiplications in .
Reduce the fraction to lowest terms by extracting and canceling out .
Convert decimal number to fraction . Reduce the fraction to lowest terms by extracting and canceling out .
Multiply times by multiplying numerator times numerator and denominator times denominator.
Do the multiplications in the fraction .
Reduce the fraction to lowest terms by extracting and canceling out .
Reduce the fraction to lowest terms by extracting and canceling out .
Least common multiple of and is . Convert and to fractions with denominator .
Since and have the same denominator, add them by adding their numerators.
Add and to get .
Divide each term of by to get .
Use the distributive property to multiply by .
Convert decimal number to fraction .
Multiply times by multiplying numerator times numerator and denominator times denominator.
Do the multiplications in the fraction .
Convert decimal number to fraction .
Multiply times by multiplying numerator times numerator and denominator times denominator.
Do the multiplications in the fraction .
Least common multiple of and is . Convert and to fractions with denominator .
Since and have the same denominator, add them by adding their numerators.
Add and to get .
Subtract from both sides.
Convert decimal number to fraction . Reduce the fraction to lowest terms by extracting and canceling out .
Least common multiple of and is . Convert and to fractions with denominator .
Since and have the same denominator, subtract them by subtracting their numerators.
Subtract from to get .
Multiply both sides by , the reciprocal of .
Express as a single fraction.
Multiply and to get .
Reduce the fraction to lowest terms by extracting and canceling out .
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Similar Problems from Web Search

\left(\frac{7}{12}+\frac{24.5}{50}+\frac{x}{48+52}\right)\times 0.1+\frac{8}{10}\times 0.15+\frac{15}{30}=0.5
Reduce the fraction \frac{28}{48}\approx 0.583333333 to lowest terms by extracting and canceling out 4.
\left(\frac{7}{12}+\frac{245}{500}+\frac{x}{48+52}\right)\times 0.1+\frac{8}{10}\times 0.15+\frac{15}{30}=0.5
Expand \frac{24.5}{50}\approx 0.49 by multiplying both numerator and the denominator by 10.
\left(\frac{7}{12}+\frac{49}{100}+\frac{x}{48+52}\right)\times 0.1+\frac{8}{10}\times 0.15+\frac{15}{30}=0.5
Reduce the fraction \frac{245}{500}\approx 0.49 to lowest terms by extracting and canceling out 5.
\left(\frac{175}{300}+\frac{147}{300}+\frac{x}{48+52}\right)\times 0.1+\frac{8}{10}\times 0.15+\frac{15}{30}=0.5
Least common multiple of 12 and 100 is 300. Convert \frac{7}{12}\approx 0.583333333 and \frac{49}{100}=0.49 to fractions with denominator 300.
\left(\frac{175+147}{300}+\frac{x}{48+52}\right)\times 0.1+\frac{8}{10}\times 0.15+\frac{15}{30}=0.5
Since \frac{175}{300}\approx 0.583333333 and \frac{147}{300}=0.49 have the same denominator, add them by adding their numerators.
\left(\frac{322}{300}+\frac{x}{48+52}\right)\times 0.1+\frac{8}{10}\times 0.15+\frac{15}{30}=0.5
Add 175 and 147 to get 322.
\left(\frac{161}{150}+\frac{x}{48+52}\right)\times 0.1+\frac{8}{10}\times 0.15+\frac{15}{30}=0.5
Reduce the fraction \frac{322}{300}\approx 1.073333333 to lowest terms by extracting and canceling out 2.
\left(\frac{161}{150}+\frac{x}{100}\right)\times 0.1+\frac{8}{10}\times 0.15+\frac{15}{30}=0.5
Add 48 and 52 to get 100.
\left(\frac{161\times 2}{300}+\frac{3x}{300}\right)\times 0.1+\frac{8}{10}\times 0.15+\frac{15}{30}=0.5
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 150 and 100 is 300. Multiply \frac{161}{150}\approx 1.073333333 times \frac{2}{2}=1. Multiply \frac{x}{100} times \frac{3}{3}=1.
\frac{161\times 2+3x}{300}\times 0.1+\frac{8}{10}\times 0.15+\frac{15}{30}=0.5
Since \frac{161\times 2}{300}\approx 1.073333333 and \frac{3x}{300} have the same denominator, add them by adding their numerators.
\frac{322+3x}{300}\times 0.1+\frac{8}{10}\times 0.15+\frac{15}{30}=0.5
Do the multiplications in 161\times 2+3x.
\frac{322+3x}{300}\times 0.1+\frac{4}{5}\times 0.15+\frac{15}{30}=0.5
Reduce the fraction \frac{8}{10}\approx 0.8 to lowest terms by extracting and canceling out 2.
\frac{322+3x}{300}\times 0.1+\frac{4}{5}\times \left(\frac{3}{20}\right)+\frac{15}{30}=0.5
Convert decimal number 0.15 to fraction \frac{15}{100}=0.15. Reduce the fraction \frac{15}{100}=0.15 to lowest terms by extracting and canceling out 5.
\frac{322+3x}{300}\times 0.1+\frac{4\times 3}{5\times 20}+\frac{15}{30}=0.5
Multiply \frac{4}{5}=0.8 times \frac{3}{20}=0.15 by multiplying numerator times numerator and denominator times denominator.
\frac{322+3x}{300}\times 0.1+\frac{12}{100}+\frac{15}{30}=0.5
Do the multiplications in the fraction \frac{4\times 3}{5\times 20}\approx 0.12.
\frac{322+3x}{300}\times 0.1+\frac{3}{25}+\frac{15}{30}=0.5
Reduce the fraction \frac{12}{100}\approx 0.12 to lowest terms by extracting and canceling out 4.
\frac{322+3x}{300}\times 0.1+\frac{3}{25}+\frac{1}{2}=0.5
Reduce the fraction \frac{15}{30}=0.5 to lowest terms by extracting and canceling out 15.
\frac{322+3x}{300}\times 0.1+\frac{6}{50}+\frac{25}{50}=0.5
Least common multiple of 25 and 2 is 50. Convert \frac{3}{25}=0.12 and \frac{1}{2}=0.5 to fractions with denominator 50.
\frac{322+3x}{300}\times 0.1+\frac{6+25}{50}=0.5
Since \frac{6}{50}=0.12 and \frac{25}{50}=0.5 have the same denominator, add them by adding their numerators.
\frac{322+3x}{300}\times 0.1+\frac{31}{50}=0.5
Add 6 and 25 to get 31.
\left(\frac{161}{150}+\frac{1}{100}x\right)\times 0.1+\frac{31}{50}=0.5
Divide each term of 322+3x by 300 to get \frac{161}{150}+\frac{1}{100}x.
\frac{161}{150}\times 0.1+\frac{1}{100}x\times 0.1+\frac{31}{50}=0.5
Use the distributive property to multiply \frac{161}{150}+\frac{1}{100}x by 0.1.
\frac{161}{150}\times \left(\frac{1}{10}\right)+\frac{1}{100}x\times 0.1+\frac{31}{50}=0.5
Convert decimal number 0.1 to fraction \frac{1}{10}=0.1.
\frac{161\times 1}{150\times 10}+\frac{1}{100}x\times 0.1+\frac{31}{50}=0.5
Multiply \frac{161}{150}\approx 1.073333333 times \frac{1}{10}=0.1 by multiplying numerator times numerator and denominator times denominator.
\frac{161}{1500}+\frac{1}{100}x\times 0.1+\frac{31}{50}=0.5
Do the multiplications in the fraction \frac{161\times 1}{150\times 10}\approx 0.107333333.
\frac{161}{1500}+\frac{1}{100}x\times \left(\frac{1}{10}\right)+\frac{31}{50}=0.5
Convert decimal number 0.1 to fraction \frac{1}{10}=0.1.
\frac{161}{1500}+\frac{1\times 1}{100\times 10}x+\frac{31}{50}=0.5
Multiply \frac{1}{100}=0.01 times \frac{1}{10}=0.1 by multiplying numerator times numerator and denominator times denominator.
\frac{161}{1500}+\frac{1}{1000}x+\frac{31}{50}=0.5
Do the multiplications in the fraction \frac{1\times 1}{100\times 10}\approx 0.001.
\frac{161}{1500}+\frac{1}{1000}x+\frac{930}{1500}=0.5
Least common multiple of 1500 and 50 is 1500. Convert \frac{161}{1500}\approx 0.107333333 and \frac{31}{50}=0.62 to fractions with denominator 1500.
\frac{161+930}{1500}+\frac{1}{1000}x=0.5
Since \frac{161}{1500}\approx 0.107333333 and \frac{930}{1500}=0.62 have the same denominator, add them by adding their numerators.
\frac{1091}{1500}+\frac{1}{1000}x=0.5
Add 161 and 930 to get 1091.
\frac{1}{1000}x=0.5-\frac{1091}{1500}
Subtract \frac{1091}{1500}\approx 0.727333333 from both sides.
\frac{1}{1000}x=\frac{1}{2}-\frac{1091}{1500}
Convert decimal number 0.5 to fraction \frac{5}{10}=0.5. Reduce the fraction \frac{5}{10}=0.5 to lowest terms by extracting and canceling out 5.
\frac{1}{1000}x=\frac{750}{1500}-\frac{1091}{1500}
Least common multiple of 2 and 1500 is 1500. Convert \frac{1}{2}=0.5 and \frac{1091}{1500}\approx 0.727333333 to fractions with denominator 1500.
\frac{1}{1000}x=\frac{750-1091}{1500}
Since \frac{750}{1500}=0.5 and \frac{1091}{1500}\approx 0.727333333 have the same denominator, subtract them by subtracting their numerators.
\frac{1}{1000}x=-\frac{341}{1500}
Subtract 1091 from 750 to get -341.
x=-\frac{341}{1500}\times 1000
Multiply both sides by 1000, the reciprocal of \frac{1}{1000}=0.001.
x=\frac{-341\times 1000}{1500}
Express -\frac{341}{1500}\times 1000\approx -227.333333333 as a single fraction.
x=\frac{-341000}{1500}
Multiply -341 and 1000 to get -341000.
x=-\frac{682}{3}
Reduce the fraction \frac{-341000}{1500}\approx -227.333333333 to lowest terms by extracting and canceling out 500.
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