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

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

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Add \frac{1}{2}x to both sides.

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

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

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

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

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

Subtract \frac{2}{3} from \frac{2}{3} to get 0.

$$\frac{2}{3}x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{2}{3} is not equal to 0, x must be equal to 0.

$$x=0$$