Solve x-2/6-x+2/2=-12

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

Solve for x

$$x=32$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,2.

$$x-2-3\left(x+2\right)=-72$$

Use the distributive property to multiply -3 by x+2.

$$x-2-3x-6=-72$$

Combine x and -3x to get -2x.

$$-2x-2-6=-72$$

Subtract 6 from -2 to get -8.

$$-2x-8=-72$$

Add 8 to both sides.

$$-2x=-72+8$$

Add -72 and 8 to get -64.

$$-2x=-64$$

Divide both sides by -2.

$$x=\frac{-64}{-2}$$

Divide -64 by -2 to get 32.

$$x=32$$