Solve x+5=70/100+6/100

$$x+5= \frac{ 70 }{ 100 } + \frac{ 6 }{ 100 }$$

Solve for x

$$x = -\frac{106}{25} = -4\frac{6}{25} = -4.24$$

Steps for Solving Linear Equation

Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.

$$x+5=\frac{7}{10}+\frac{6}{100}$$

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$x+5=\frac{7}{10}+\frac{3}{50}$$

Least common multiple of 10 and 50 is 50. Convert \frac{7}{10} and \frac{3}{50} to fractions with denominator 50.

$$x+5=\frac{35}{50}+\frac{3}{50}$$

Since \frac{35}{50} and \frac{3}{50} have the same denominator, add them by adding their numerators.

$$x+5=\frac{35+3}{50}$$

Add 35 and 3 to get 38.

$$x+5=\frac{38}{50}$$

Reduce the fraction \frac{38}{50} to lowest terms by extracting and canceling out 2.

$$x+5=\frac{19}{25}$$

Subtract 5 from both sides.

$$x=\frac{19}{25}-5$$

Convert 5 to fraction \frac{125}{25}.

$$x=\frac{19}{25}-\frac{125}{25}$$

Since \frac{19}{25} and \frac{125}{25} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{19-125}{25}$$

Subtract 125 from 19 to get -106.

$$x=-\frac{106}{25}$$