Solve (x+12)(x+5)=(x-8)(x+7)-10

$$(x+12)(x+5)=(x-8)(x+7)-10$$

Solve for x

$$x=-7$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+12 by x+5 and combine like terms.

$$x^{2}+17x+60=\left(x-8\right)\left(x+7\right)-10$$

Use the distributive property to multiply x-8 by x+7 and combine like terms.

$$x^{2}+17x+60=x^{2}-x-56-10$$

Subtract 10 from -56 to get -66.

$$x^{2}+17x+60=x^{2}-x-66$$

Subtract x^{2} from both sides.

$$x^{2}+17x+60-x^{2}=-x-66$$

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

$$17x+60=-x-66$$

Add x to both sides.

$$17x+60+x=-66$$

Combine 17x and x to get 18x.

$$18x+60=-66$$

Subtract 60 from both sides.

$$18x=-66-60$$

Subtract 60 from -66 to get -126.

$$18x=-126$$

Divide both sides by 18.

$$x=\frac{-126}{18}$$

Divide -126 by 18 to get -7.

$$x=-7$$