Solve for x 14=-(x-8)

$14 = - (x - 8)$

Step 1

Rewrite the equation as $- (x - 8) = 14$ .

$- (x - 8) = 14$

Step 2

Simplify $- (x - 8)$ .

Apply the distributive property.

$- x - - 8 = 14$

Multiply $- 1$ by $- 8$ .

$- x + 8 = 14$

Step 3

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

Subtract $8$ from both sides of the equation.

$- x = 14 - 8$

Subtract $8$ from $14$ .

$- x = 6$

Step 4

Divide each term in $- x = 6$ by $- 1$ and simplify.

Divide each term in $- x = 6$ by $- 1$ .

$\frac{- x}{- 1} = \frac{6}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{6}{- 1}$

Divide $x$ by $1$ .

$x = \frac{6}{- 1}$

Simplify the right side.

Divide $6$ by $- 1$ .

$x = - 6$