Solve for x -8=-(x+4)

$- 8 = - (x + 4)$

Step 1

Rewrite the equation as $- (x + 4) = - 8$ .

$- (x + 4) = - 8$

Step 2

Simplify $- (x + 4)$ .

Apply the distributive property.

$- x - 1 \cdot 4 = - 8$

Multiply $- 1$ by $4$ .

$- x - 4 = - 8$

Step 3

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

Add $4$ to both sides of the equation.

$- x = - 8 + 4$

Add $- 8$ and $4$ .

$- x = - 4$

Step 4

Divide each term in $- x = - 4$ by $- 1$ and simplify.

Divide each term in $- x = - 4$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 4}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 4}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- 4}{- 1}$

Simplify the right side.

Divide $- 4$ by $- 1$ .

$x = 4$