Solve 1/7-x=5/8

$$\frac{ 1 }{ 7 } -x = \frac{ 5 }{ 8 }$$

Solve for x

$$x=-\frac{27}{56}\approx -0.482142857$$

Steps for Solving Linear Equation

Subtract \frac{1}{7} from both sides.

$$-x=\frac{5}{8}-\frac{1}{7}$$

Least common multiple of 8 and 7 is 56. Convert \frac{5}{8} and \frac{1}{7} to fractions with denominator 56.

$$-x=\frac{35}{56}-\frac{8}{56}$$

Since \frac{35}{56} and \frac{8}{56} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{35-8}{56}$$

Subtract 8 from 35 to get 27.

$$-x=\frac{27}{56}$$

Multiply both sides by -1.

$$x=-\frac{27}{56}$$