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

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

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

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

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

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

$$\frac{3}{2}x=\frac{4}{6}-\frac{1}{6}$$

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

$$\frac{3}{2}x=\frac{4-1}{6}$$

Subtract 1 from 4 to get 3.

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

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

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

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

$$x=\frac{1}{2}\times \frac{2}{3}$$

Multiply \frac{1}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 2}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

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