Solve 2(x+2)-4=3(x+2)+2x

$$2(x+2)-4=3(x+2)+2x$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

$$2x+4-4=3\left(x+2\right)+2x$$

Subtract 4 from 4 to get 0.

$$2x=3\left(x+2\right)+2x$$

Use the distributive property to multiply 3 by x+2.

$$2x=3x+6+2x$$

Combine 3x and 2x to get 5x.

$$2x=5x+6$$

Subtract 5x from both sides.

$$2x-5x=6$$

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

$$-3x=6$$

Divide both sides by -3.

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

Divide 6 by -3 to get -2.

$$x=-2$$