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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply x by x-1.

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

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

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

Subtract x^{2} from both sides.

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

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

$$-x-3=3x+5$$

Subtract 3x from both sides.

$$-x-3-3x=5$$

Combine -x and -3x to get -4x.

$$-4x-3=5$$

Add 3 to both sides.

$$-4x=5+3$$

Add 5 and 3 to get 8.

$$-4x=8$$

Divide both sides by -4.

$$x=\frac{8}{-4}$$

Divide 8 by -4 to get -2.

$$x=-2$$