Solve for x -14=-(-2x+2)

$- 14 = - (- 2 x + 2)$

Step 1

Rewrite the equation as $- (- 2 x + 2) = - 14$ .

$- (- 2 x + 2) = - 14$

Step 2

Simplify $- (- 2 x + 2)$ .

Apply the distributive property.

$- (- 2 x) - 1 \cdot 2 = - 14$

Multiply.

Multiply $- 2$ by $- 1$ .

$2 x - 1 \cdot 2 = - 14$

Multiply $- 1$ by $2$ .

$2 x - 2 = - 14$

Step 3

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

Add $2$ to both sides of the equation.

$2 x = - 14 + 2$

Add $- 14$ and $2$ .

$2 x = - 12$

Step 4

Divide each term in $2 x = - 12$ by $2$ and simplify.

Divide each term in $2 x = - 12$ by $2$ .

$\frac{2 x}{2} = \frac{- 12}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 12}{2}$

Divide $x$ by $1$ .

$x = \frac{- 12}{2}$

Simplify the right side.

Divide $- 12$ by $2$ .

$x = - 6$