Solve xleft(x+2right)left(x-2right)-xleft(x^2-8right)=16

$$x \left( x+2 \right) \left( x-2 \right) -x \left( { x }^{ 2 } -8 \right) = 16$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$\left(x^{2}+2x\right)\left(x-2\right)-x\left(x^{2}-8\right)=16$$

Use the distributive property to multiply x^{2}+2x by x-2 and combine like terms.

$$x^{3}-4x-x\left(x^{2}-8\right)=16$$

Use the distributive property to multiply x by x^{2}-8.

$$x^{3}-4x-\left(x^{3}-8x\right)=16$$

To find the opposite of x^{3}-8x, find the opposite of each term.

$$x^{3}-4x-x^{3}+8x=16$$

Combine x^{3} and -x^{3} to get 0.

$$-4x+8x=16$$

Combine -4x and 8x to get 4x.

$$4x=16$$

Divide both sides by 4.

$$x=\frac{16}{4}$$

Divide 16 by 4 to get 4.

$$x=4$$