Solve 6=2/6x+1/6

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

Solve for x

$$x = \frac{35}{2} = 17\frac{1}{2} = 17.5$$

Steps for Solving Linear Equation

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

$$6=\frac{1}{3}x+\frac{1}{6}$$

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

$$\frac{1}{3}x+\frac{1}{6}=6$$

Subtract \frac{1}{6} from both sides.

$$\frac{1}{3}x=6-\frac{1}{6}$$

Convert 6 to fraction \frac{36}{6}.

$$\frac{1}{3}x=\frac{36}{6}-\frac{1}{6}$$

Since \frac{36}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{3}x=\frac{36-1}{6}$$

Subtract 1 from 36 to get 35.

$$\frac{1}{3}x=\frac{35}{6}$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$x=\frac{35}{6}\times 3$$

Express \frac{35}{6}\times 3 as a single fraction.

$$x=\frac{35\times 3}{6}$$

Multiply 35 and 3 to get 105.

$$x=\frac{105}{6}$$

Reduce the fraction \frac{105}{6} to lowest terms by extracting and canceling out 3.

$$x=\frac{35}{2}$$