Solve for x -8x-(3x+6)=4-x

$- 8 x - (3 x + 6) = 4 - x$

Step 1

Simplify $- 8 x - (3 x + 6)$ .

Simplify each term.

Apply the distributive property.

$- 8 x - (3 x) - 1 \cdot 6 = 4 - x$

Multiply $3$ by $- 1$ .

$- 8 x - 3 x - 1 \cdot 6 = 4 - x$

Multiply $- 1$ by $6$ .

$- 8 x - 3 x - 6 = 4 - x$

Subtract $3 x$ from $- 8 x$ .

$- 11 x - 6 = 4 - x$

Step 2

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

Add $x$ to both sides of the equation.

$- 11 x - 6 + x = 4$

Add $- 11 x$ and $x$ .

$- 10 x - 6 = 4$

Step 3

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

Add $6$ to both sides of the equation.

$- 10 x = 4 + 6$

Add $4$ and $6$ .

$- 10 x = 10$

Step 4

Divide each term in $- 10 x = 10$ by $- 10$ and simplify.

Divide each term in $- 10 x = 10$ by $- 10$ .

$\frac{- 10 x}{- 10} = \frac{10}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 x}{- 10} = \frac{10}{- 10}$

Divide $x$ by $1$ .

$x = \frac{10}{- 10}$

Simplify the right side.

Divide $10$ by $- 10$ .

$x = - 1$