Solve 2/3(x+1/8)=1/6x

$$\frac { 2 } { 3 } ( x + \frac { 1 } { 8 } ) = \frac { 1 } { 6 } x$$

Solve for x

$$x=-\frac{1}{6}\approx -0.166666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{2}{3} by x+\frac{1}{8}.

$$\frac{2}{3}x+\frac{2}{3}\times \frac{1}{8}=\frac{1}{6}x$$

Multiply \frac{2}{3} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{3}x+\frac{2\times 1}{3\times 8}=\frac{1}{6}x$$

Do the multiplications in the fraction \frac{2\times 1}{3\times 8}.

$$\frac{2}{3}x+\frac{2}{24}=\frac{1}{6}x$$

Reduce the fraction \frac{2}{24} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}x+\frac{1}{12}=\frac{1}{6}x$$

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

$$\frac{2}{3}x+\frac{1}{12}-\frac{1}{6}x=0$$

Combine \frac{2}{3}x and -\frac{1}{6}x to get \frac{1}{2}x.

$$\frac{1}{2}x+\frac{1}{12}=0$$

Subtract \frac{1}{12} from both sides. Anything subtracted from zero gives its negation.

$$\frac{1}{2}x=-\frac{1}{12}$$

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

$$x=-\frac{1}{12}\times 2$$

Express -\frac{1}{12}\times 2 as a single fraction.

$$x=\frac{-2}{12}$$

Reduce the fraction \frac{-2}{12} to lowest terms by extracting and canceling out 2.

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