Solve (x+2)(x+4)=x^2+20

$$( x + 2 ) ( x + 4 ) = x ^ { 2 } + 20$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+2 by x+4 and combine like terms.

$$x^{2}+6x+8=x^{2}+20$$

Subtract x^{2} from both sides.

$$x^{2}+6x+8-x^{2}=20$$

Combine x^{2} and -x^{2} to get 0.

$$6x+8=20$$

Subtract 8 from both sides.

$$6x=20-8$$

Subtract 8 from 20 to get 12.

$$6x=12$$

Divide both sides by 6.

$$x=\frac{12}{6}$$

Divide 12 by 6 to get 2.

$$x=2$$