Solve (x+3)(x-1)=x(x+5)

$$(x+3)(x-1)=x(x+5)$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+3 by x-1 and combine like terms.

$$x^{2}+2x-3=x\left(x+5\right)$$

Use the distributive property to multiply x by x+5.

$$x^{2}+2x-3=x^{2}+5x$$

Subtract x^{2} from both sides.

$$x^{2}+2x-3-x^{2}=5x$$

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

$$2x-3=5x$$

Subtract 5x from both sides.

$$2x-3-5x=0$$

Combine 2x and -5x to get -3x.

$$-3x-3=0$$

Add 3 to both sides. Anything plus zero gives itself.

$$-3x=3$$

Divide both sides by -3.

$$x=\frac{3}{-3}$$

Divide 3 by -3 to get -1.

$$x=-1$$