Solve for x -8x-8+3(x-2)=-3x+2

$- 8 x - 8 + 3 (x - 2) = - 3 x + 2$

Simplify $- 8 x - 8 + 3 (x - 2)$ .

Simplify each term.

Apply the distributive property.

$- 8 x - 8 + 3 x + 3 \cdot - 2 = - 3 x + 2$

Multiply $3$ by $- 2$ .

$- 8 x - 8 + 3 x - 6 = - 3 x + 2$

Simplify by adding terms.

Add $- 8 x$ and $3 x$ .

$- 5 x - 8 - 6 = - 3 x + 2$

Subtract $6$ from $- 8$ .

$- 5 x - 14 = - 3 x + 2$

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

Add $3 x$ to both sides of the equation.

$- 5 x - 14 + 3 x = 2$

Add $- 5 x$ and $3 x$ .

$- 2 x - 14 = 2$

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

Add $14$ to both sides of the equation.

$- 2 x = 2 + 14$

Add $2$ and $14$ .

$- 2 x = 16$

Divide each term in $- 2 x = 16$ by $- 2$ and simplify.

Divide each term in $- 2 x = 16$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{16}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{16}{- 2}$

Divide $x$ by $1$ .

$x = \frac{16}{- 2}$

Simplify the right side.

Divide $16$ by $- 2$ .

$x = - 8$