Solve 1/2x+2/3=1/6

$$\frac { 1 } { 2 } x + \frac { 2 } { 3 } = \frac { 1 } { 6 }$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Subtract \frac{2}{3} from both sides.

$$\frac{1}{2}x=\frac{1}{6}-\frac{2}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{1}{6} and \frac{2}{3} to fractions with denominator 6.

$$\frac{1}{2}x=\frac{1}{6}-\frac{4}{6}$$

Since \frac{1}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}x=\frac{1-4}{6}$$

Subtract 4 from 1 to get -3.

$$\frac{1}{2}x=\frac{-3}{6}$$

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

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

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=-\frac{1}{2}\times 2$$

Cancel out 2 and 2.

$$x=-1$$