Solve x(x+4)+x(x+2)=2x^2+12

$$x ( x + 4 ) + x ( x + 2 ) = 2 x ^ { 2 } + 12$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply x by x+4.

$$x^{2}+4x+x\left(x+2\right)=2x^{2}+12$$

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

$$x^{2}+4x+x^{2}+2x=2x^{2}+12$$

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

$$2x^{2}+4x+2x=2x^{2}+12$$

Combine 4x and 2x to get 6x.

$$2x^{2}+6x=2x^{2}+12$$

Subtract 2x^{2} from both sides.

$$2x^{2}+6x-2x^{2}=12$$

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

$$6x=12$$

Divide both sides by 6.

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

Divide 12 by 6 to get 2.

$$x=2$$