Solve for x
x = \frac{1466}{15} = 97\frac{11}{15} \approx 97.733333333
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7\left(\frac{93+87+5x}{7}\times 0.9+\frac{100+90+5x}{7}\times 0.1\right)\times 0.6+0.7\times 95+2.1\times 97=672
Multiply both sides of the equation by 7.
7\left(\frac{180+5x}{7}\times 0.9+\frac{100+90+5x}{7}\times 0.1\right)\times 0.6+0.7\times 95+2.1\times 97=672
Add 93 and 87 to get 180.
7\left(\frac{180+5x}{7}\times 0.9+\frac{190+5x}{7}\times 0.1\right)\times 0.6+0.7\times 95+2.1\times 97=672
Add 100 and 90 to get 190.
4.2\left(\frac{180+5x}{7}\times 0.9+\frac{190+5x}{7}\times 0.1\right)+0.7\times 95+2.1\times 97=672
Multiply 7 and 0.6 to get 4.2.
4.2\times \frac{180+5x}{7}\times 0.9+4.2\times \frac{190+5x}{7}\times 0.1+0.7\times 95+2.1\times 97=672
Use the distributive property to multiply 4.2 by \frac{180+5x}{7}\times 0.9+\frac{190+5x}{7}\times 0.1.
3.78\times \frac{180+5x}{7}+4.2\times \frac{190+5x}{7}\times 0.1+0.7\times 95+2.1\times 97=672
Multiply 4.2 and 0.9 to get 3.78.
3.78\times \frac{180+5x}{7}+0.42\times \frac{190+5x}{7}+0.7\times 95+2.1\times 97=672
Multiply 4.2 and 0.1 to get 0.42.
3.78\times \frac{180+5x}{7}+0.42\times \frac{190+5x}{7}+66.5+2.1\times 97=672
Multiply 0.7 and 95 to get 66.5.
3.78\times \frac{180+5x}{7}+0.42\times \frac{190+5x}{7}+66.5+203.7=672
Multiply 2.1 and 97 to get 203.7.
3.78\times \frac{180+5x}{7}+0.42\times \frac{190+5x}{7}+270.2=672
Add 66.5 and 203.7 to get 270.2.
3.78\left(\frac{180}{7}+\frac{5}{7}x\right)+0.42\times \frac{190+5x}{7}+270.2=672
Divide each term of 180+5x by 7 to get \frac{180}{7}+\frac{5}{7}x.
3.78\times \frac{180}{7}+3.78\times \frac{5}{7}x+0.42\times \frac{190+5x}{7}+270.2=672
Use the distributive property to multiply 3.78 by \frac{180}{7}+\frac{5}{7}x.
\frac{189}{50}\times \frac{180}{7}+3.78\times \frac{5}{7}x+0.42\times \frac{190+5x}{7}+270.2=672
Convert decimal number 3.78 to fraction \frac{378}{100}. Reduce the fraction \frac{378}{100} to lowest terms by extracting and canceling out 2.
\frac{189\times 180}{50\times 7}+3.78\times \frac{5}{7}x+0.42\times \frac{190+5x}{7}+270.2=672
Multiply \frac{189}{50} times \frac{180}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{34020}{350}+3.78\times \frac{5}{7}x+0.42\times \frac{190+5x}{7}+270.2=672
Do the multiplications in the fraction \frac{189\times 180}{50\times 7}.
\frac{486}{5}+3.78\times \frac{5}{7}x+0.42\times \frac{190+5x}{7}+270.2=672
Reduce the fraction \frac{34020}{350} to lowest terms by extracting and canceling out 70.
\frac{486}{5}+\frac{189}{50}\times \frac{5}{7}x+0.42\times \frac{190+5x}{7}+270.2=672
Convert decimal number 3.78 to fraction \frac{378}{100}. Reduce the fraction \frac{378}{100} to lowest terms by extracting and canceling out 2.
\frac{486}{5}+\frac{189\times 5}{50\times 7}x+0.42\times \frac{190+5x}{7}+270.2=672
Multiply \frac{189}{50} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{486}{5}+\frac{945}{350}x+0.42\times \frac{190+5x}{7}+270.2=672
Do the multiplications in the fraction \frac{189\times 5}{50\times 7}.
\frac{486}{5}+\frac{27}{10}x+0.42\times \frac{190+5x}{7}+270.2=672
Reduce the fraction \frac{945}{350} to lowest terms by extracting and canceling out 35.
\frac{486}{5}+\frac{27}{10}x+0.42\left(\frac{190}{7}+\frac{5}{7}x\right)+270.2=672
Divide each term of 190+5x by 7 to get \frac{190}{7}+\frac{5}{7}x.
\frac{486}{5}+\frac{27}{10}x+0.42\times \frac{190}{7}+0.42\times \frac{5}{7}x+270.2=672
Use the distributive property to multiply 0.42 by \frac{190}{7}+\frac{5}{7}x.
\frac{486}{5}+\frac{27}{10}x+\frac{21}{50}\times \frac{190}{7}+0.42\times \frac{5}{7}x+270.2=672
Convert decimal number 0.42 to fraction \frac{42}{100}. Reduce the fraction \frac{42}{100} to lowest terms by extracting and canceling out 2.
\frac{486}{5}+\frac{27}{10}x+\frac{21\times 190}{50\times 7}+0.42\times \frac{5}{7}x+270.2=672
Multiply \frac{21}{50} times \frac{190}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{486}{5}+\frac{27}{10}x+\frac{3990}{350}+0.42\times \frac{5}{7}x+270.2=672
Do the multiplications in the fraction \frac{21\times 190}{50\times 7}.
\frac{486}{5}+\frac{27}{10}x+\frac{57}{5}+0.42\times \frac{5}{7}x+270.2=672
Reduce the fraction \frac{3990}{350} to lowest terms by extracting and canceling out 70.
\frac{486}{5}+\frac{27}{10}x+\frac{57}{5}+\frac{21}{50}\times \frac{5}{7}x+270.2=672
Convert decimal number 0.42 to fraction \frac{42}{100}. Reduce the fraction \frac{42}{100} to lowest terms by extracting and canceling out 2.
\frac{486}{5}+\frac{27}{10}x+\frac{57}{5}+\frac{21\times 5}{50\times 7}x+270.2=672
Multiply \frac{21}{50} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{486}{5}+\frac{27}{10}x+\frac{57}{5}+\frac{105}{350}x+270.2=672
Do the multiplications in the fraction \frac{21\times 5}{50\times 7}.
\frac{486}{5}+\frac{27}{10}x+\frac{57}{5}+\frac{3}{10}x+270.2=672
Reduce the fraction \frac{105}{350} to lowest terms by extracting and canceling out 35.
\frac{486+57}{5}+\frac{27}{10}x+\frac{3}{10}x+270.2=672
Since \frac{486}{5} and \frac{57}{5} have the same denominator, add them by adding their numerators.
\frac{543}{5}+\frac{27}{10}x+\frac{3}{10}x+270.2=672
Add 486 and 57 to get 543.
\frac{543}{5}+3x+270.2=672
Combine \frac{27}{10}x and \frac{3}{10}x to get 3x.
\frac{543}{5}+3x+\frac{1351}{5}=672
Convert decimal number 270.2 to fraction \frac{2702}{10}. Reduce the fraction \frac{2702}{10} to lowest terms by extracting and canceling out 2.
\frac{543+1351}{5}+3x=672
Since \frac{543}{5} and \frac{1351}{5} have the same denominator, add them by adding their numerators.
\frac{1894}{5}+3x=672
Add 543 and 1351 to get 1894.
3x=672-\frac{1894}{5}
Subtract \frac{1894}{5} from both sides.
3x=\frac{3360}{5}-\frac{1894}{5}
Convert 672 to fraction \frac{3360}{5}.
3x=\frac{3360-1894}{5}
Since \frac{3360}{5} and \frac{1894}{5} have the same denominator, subtract them by subtracting their numerators.
3x=\frac{1466}{5}
Subtract 1894 from 3360 to get 1466.
x=\frac{\frac{1466}{5}}{3}
Divide both sides by 3.
x=\frac{1466}{5\times 3}
Express \frac{\frac{1466}{5}}{3} as a single fraction.
x=\frac{1466}{15}
Multiply 5 and 3 to get 15.
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Limits
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