Solve for x -8(2x-9)=20-12x

$- 8 (2 x - 9) = 20 - 12 x$

Simplify $- 8 (2 x - 9)$ .

Rewrite.

$0 + 0 - 8 (2 x - 9) = 20 - 12 x$

Simplify by adding zeros.

$- 8 (2 x - 9) = 20 - 12 x$

Apply the distributive property.

$- 8 (2 x) - 8 \cdot - 9 = 20 - 12 x$

Multiply.

Multiply $2$ by $- 8$ .

$- 16 x - 8 \cdot - 9 = 20 - 12 x$

Multiply $- 8$ by $- 9$ .

$- 16 x + 72 = 20 - 12 x$

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

Add $12 x$ to both sides of the equation.

$- 16 x + 72 + 12 x = 20$

Add $- 16 x$ and $12 x$ .

$- 4 x + 72 = 20$

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

Subtract $72$ from both sides of the equation.

$- 4 x = 20 - 72$

Subtract $72$ from $20$ .

$- 4 x = - 52$

Divide each term in $- 4 x = - 52$ by $- 4$ and simplify.

Divide each term in $- 4 x = - 52$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 52}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 52}{- 4}$

Divide $x$ by $1$ .

$x = \frac{- 52}{- 4}$

Simplify the right side.

Divide $- 52$ by $- 4$ .

$x = 13$