Solve for x -5x-10=2-(x+4)

$- 5 x - 10 = 2 - (x + 4)$

Step 1

Simplify $2 - (x + 4)$ .

Simplify each term.

Apply the distributive property.

$- 5 x - 10 = 2 - x - 1 \cdot 4$

Multiply $- 1$ by $4$ .

$- 5 x - 10 = 2 - x - 4$

Subtract $4$ from $2$ .

$- 5 x - 10 = - x - 2$

Step 2

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

Add $x$ to both sides of the equation.

$- 5 x - 10 + x = - 2$

Add $- 5 x$ and $x$ .

$- 4 x - 10 = - 2$

Step 3

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

Add $10$ to both sides of the equation.

$- 4 x = - 2 + 10$

Add $- 2$ and $10$ .

$- 4 x = 8$

Step 4

Divide each term in $- 4 x = 8$ by $- 4$ and simplify.

Divide each term in $- 4 x = 8$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{8}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{8}{- 4}$

Divide $x$ by $1$ .

$x = \frac{8}{- 4}$

Simplify the right side.

Divide $8$ by $- 4$ .

$x = - 2$