Solve 5/6+1/6x=2

$$\frac { 5 } { 6 } + \frac { 1 } { 6 } x = 2$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

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

$$\frac{1}{6}x=2-\frac{5}{6}$$

Convert 2 to fraction \frac{12}{6}.

$$\frac{1}{6}x=\frac{12}{6}-\frac{5}{6}$$

Since \frac{12}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{6}x=\frac{12-5}{6}$$

Subtract 5 from 12 to get 7.

$$\frac{1}{6}x=\frac{7}{6}$$

Multiply both sides by 6, the reciprocal of \frac{1}{6}.

$$x=\frac{7}{6}\times 6$$

Cancel out 6 and 6.

$$x=7$$