Solve (21/10-6/10)x=60

$$( \frac { 21 } { 10 } - \frac { 6 } { 10 } ) x = 60$$

Solve for x

$$x=40$$

Steps for Solving Linear Equation

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\left(\frac{21}{10}-\frac{3}{5}\right)x=60$$

Least common multiple of 10 and 5 is 10. Convert \frac{21}{10} and \frac{3}{5} to fractions with denominator 10.

$$\left(\frac{21}{10}-\frac{6}{10}\right)x=60$$

Since \frac{21}{10} and \frac{6}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-6}{10}x=60$$

Subtract 6 from 21 to get 15.

$$\frac{15}{10}x=60$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{2}x=60$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$x=60\times \frac{2}{3}$$

Express 60\times \frac{2}{3} as a single fraction.

$$x=\frac{60\times 2}{3}$$

Multiply 60 and 2 to get 120.

$$x=\frac{120}{3}$$

Divide 120 by 3 to get 40.

$$x=40$$