Solve 5/6-x=1/8

$$\frac { 5 } { 6 } - x = \frac { 1 } { 8 }$$

Solve for x

$$x=\frac{17}{24}\approx 0.708333333$$

Steps for Solving Linear Equation

Subtract \frac{5}{6} from both sides.

$$-x=\frac{1}{8}-\frac{5}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{1}{8} and \frac{5}{6} to fractions with denominator 24.

$$-x=\frac{3}{24}-\frac{20}{24}$$

Since \frac{3}{24} and \frac{20}{24} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{3-20}{24}$$

Subtract 20 from 3 to get -17.

$$-x=-\frac{17}{24}$$

Multiply both sides by -1.

$$x=\frac{17}{24}$$