Solve 8/7-3/3x=13/14

$$\frac { 8 } { 7 } - \frac { 3 } { 3 } x = \frac { 13 } { 14 }$$

Solve for x

$$x=\frac{3}{14}\approx 0.214285714$$

Steps for Solving Linear Equation

Divide 3 by 3 to get 1.

$$\frac{8}{7}-x=\frac{13}{14}$$

Subtract \frac{8}{7} from both sides.

$$-x=\frac{13}{14}-\frac{8}{7}$$

Least common multiple of 14 and 7 is 14. Convert \frac{13}{14} and \frac{8}{7} to fractions with denominator 14.

$$-x=\frac{13}{14}-\frac{16}{14}$$

Since \frac{13}{14} and \frac{16}{14} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{13-16}{14}$$

Subtract 16 from 13 to get -3.

$$-x=-\frac{3}{14}$$

Multiply both sides by -1.

$$x=\frac{3}{14}$$