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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

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

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

To find the opposite of x^{2}+x-2, find the opposite of each term.

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

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

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

Combine 2x and -x to get x.

$$x+2=3$$

Subtract 2 from both sides.

$$x=3-2$$

Subtract 2 from 3 to get 1.

$$x=1$$