Solve 3/5-x=8/7

$$\frac { 3 } { 5 } - x = \frac { 8 } { 7 }$$

Solve for x

$$x=-\frac{19}{35}\approx -0.542857143$$

Steps for Solving Linear Equation

Subtract \frac{3}{5} from both sides.

$$-x=\frac{8}{7}-\frac{3}{5}$$

Least common multiple of 7 and 5 is 35. Convert \frac{8}{7} and \frac{3}{5} to fractions with denominator 35.

$$-x=\frac{40}{35}-\frac{21}{35}$$

Since \frac{40}{35} and \frac{21}{35} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{40-21}{35}$$

Subtract 21 from 40 to get 19.

$$-x=\frac{19}{35}$$

Multiply both sides by -1.

$$x=-\frac{19}{35}$$