Solve x-5/2=5/6

$$\frac{ x-5 }{ 2 } = \frac{ 5 }{ 6 }$$

Solve for x

$$x = \frac{20}{3} = 6\frac{2}{3} \approx 6.666666667$$

Steps for Solving Linear Equation

Multiply both sides by 2.

$$x-5=\frac{5}{6}\times 2$$

Express \frac{5}{6}\times 2 as a single fraction.

$$x-5=\frac{5\times 2}{6}$$

Multiply 5 and 2 to get 10.

$$x-5=\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

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

Add 5 to both sides.

$$x=\frac{5}{3}+5$$

Convert 5 to fraction \frac{15}{3}.

$$x=\frac{5}{3}+\frac{15}{3}$$

Since \frac{5}{3} and \frac{15}{3} have the same denominator, add them by adding their numerators.

$$x=\frac{5+15}{3}$$

Add 5 and 15 to get 20.

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