Solve 1/12*5*2=(1/10+x)5

$$\frac { 1 } { 12 } \times 5 \times 2 = ( \frac { 1 } { 10 } + x ) 5$$

Solve for x

$$x=\frac{1}{15}\approx 0.066666667$$

Steps for Solving Linear Equation

Cancel out 5 on both sides.

$$\frac{1}{12}\times 2=\frac{1}{10}+x$$

Multiply \frac{1}{12} and 2 to get \frac{2}{12}.

$$\frac{2}{12}=\frac{1}{10}+x$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{1}{6}=\frac{1}{10}+x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{10}+x=\frac{1}{6}$$

Subtract \frac{1}{10} from both sides.

$$x=\frac{1}{6}-\frac{1}{10}$$

Least common multiple of 6 and 10 is 30. Convert \frac{1}{6} and \frac{1}{10} to fractions with denominator 30.

$$x=\frac{5}{30}-\frac{3}{30}$$

Since \frac{5}{30} and \frac{3}{30} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{5-3}{30}$$

Subtract 3 from 5 to get 2.

$$x=\frac{2}{30}$$

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{15}$$