Solve (x+2)(x+1)=x(x-3)-10

$$( x + 2 ) ( x + 1 ) = x ( x - 3 ) - 10$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+2 by x+1 and combine like terms.

$$x^{2}+3x+2=x\left(x-3\right)-10$$

Use the distributive property to multiply x by x-3.

$$x^{2}+3x+2=x^{2}-3x-10$$

Subtract x^{2} from both sides.

$$x^{2}+3x+2-x^{2}=-3x-10$$

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

$$3x+2=-3x-10$$

Add 3x to both sides.

$$3x+2+3x=-10$$

Combine 3x and 3x to get 6x.

$$6x+2=-10$$

Subtract 2 from both sides.

$$6x=-10-2$$

Subtract 2 from -10 to get -12.

$$6x=-12$$

Divide both sides by 6.

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

Divide -12 by 6 to get -2.

$$x=-2$$