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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

$$x^{2}-2x-3=x\left(x+1\right)+3$$

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

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

Subtract x^{2} from both sides.

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

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

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

Subtract x from both sides.

$$-2x-3-x=3$$

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

$$-3x-3=3$$

Add 3 to both sides.

$$-3x=3+3$$

Add 3 and 3 to get 6.

$$-3x=6$$

Divide both sides by -3.

$$x=\frac{6}{-3}$$

Divide 6 by -3 to get -2.

$$x=-2$$