Solve x+8/x-8=5

$$\frac{ x+8 }{ x-8 } =5$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Variable x cannot be equal to 8 since division by zero is not defined. Multiply both sides of the equation by x-8.

$$x+8=5\left(x-8\right)$$

Use the distributive property to multiply 5 by x-8.

$$x+8=5x-40$$

Subtract 5x from both sides.

$$x+8-5x=-40$$

Combine x and -5x to get -4x.

$$-4x+8=-40$$

Subtract 8 from both sides.

$$-4x=-40-8$$

Subtract 8 from -40 to get -48.

$$-4x=-48$$

Divide both sides by -4.

$$x=\frac{-48}{-4}$$

Divide -48 by -4 to get 12.

$$x=12$$