Solve 5/8=x-1/6

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

Solve for x

$$x=\frac{19}{24}\approx 0.791666667$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

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

Add \frac{1}{6} to both sides.

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

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

$$x=\frac{15}{24}+\frac{4}{24}$$

Since \frac{15}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$x=\frac{15+4}{24}$$

Add 15 and 4 to get 19.

$$x=\frac{19}{24}$$