Solve 12/x^2-4=-1/x-2

$$\frac { 12 } { x ^ { 2 } - 4 } = \frac { - 1 } { x - 2 }$$

Solve for x

$$x=-14$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -2,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+2\right), the least common multiple of x^{2}-4,x-2.

$$12=\left(x+2\right)\left(-1\right)$$

Use the distributive property to multiply x+2 by -1.

$$12=-x-2$$

Swap sides so that all variable terms are on the left hand side.

$$-x-2=12$$

Add 2 to both sides.

$$-x=12+2$$

Add 12 and 2 to get 14.

$$-x=14$$

Multiply both sides by -1.

$$x=-14$$