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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

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

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

Since \frac{3}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

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

Add 3 and 1 to get 4.

$$\frac{2}{3}x=\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}x=\frac{2}{3}$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=\frac{2}{3}\times \frac{3}{2}$$

Cancel out \frac{2}{3} and its reciprocal \frac{3}{2}.

$$x=1$$