Solve for x 2(2-x)=-3x-2

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

Step 1

Simplify $2 (2 - x)$ .

Rewrite.

$0 + 0 + 2 (2 - x) = - 3 x - 2$

Simplify by adding zeros.

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

Apply the distributive property.

$2 \cdot 2 + 2 (- x) = - 3 x - 2$

Multiply.

Multiply $2$ by $2$ .

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

Multiply $- 1$ by $2$ .

$4 - 2 x = - 3 x - 2$

Step 2

Move all terms containing $x$ to the left side of the equation.

Add $3 x$ to both sides of the equation.

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

Add $- 2 x$ and $3 x$ .

$4 + x = - 2$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

$x = - 2 - 4$

Subtract $4$ from $- 2$ .

$x = - 6$