Solve for x -12(x-12)=-9(1+7x)

$- 12 (x - 12) = - 9 (1 + 7 x)$

Step 1

Simplify $- 12 (x - 12)$ .

Rewrite.

$0 + 0 - 12 (x - 12) = - 9 (1 + 7 x)$

Simplify by adding zeros.

$- 12 (x - 12) = - 9 (1 + 7 x)$

Apply the distributive property.

$- 12 x - 12 \cdot - 12 = - 9 (1 + 7 x)$

Multiply $- 12$ by $- 12$ .

$- 12 x + 144 = - 9 (1 + 7 x)$

Step 2

Simplify $- 9 (1 + 7 x)$ .

Apply the distributive property.

$- 12 x + 144 = - 9 \cdot 1 - 9 (7 x)$

Multiply.

Multiply $- 9$ by $1$ .

$- 12 x + 144 = - 9 - 9 (7 x)$

Multiply $7$ by $- 9$ .

$- 12 x + 144 = - 9 - 63 x$

Step 3

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

Add $63 x$ to both sides of the equation.

$- 12 x + 144 + 63 x = - 9$

Add $- 12 x$ and $63 x$ .

$51 x + 144 = - 9$

Step 4

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

Subtract $144$ from both sides of the equation.

$51 x = - 9 - 144$

Subtract $144$ from $- 9$ .

$51 x = - 153$

Step 5

Divide each term in $51 x = - 153$ by $51$ and simplify.

Divide each term in $51 x = - 153$ by $51$ .

$\frac{51 x}{51} = \frac{- 153}{51}$

Simplify the left side.

Cancel the common factor of $51$ .

Cancel the common factor.

$\frac{51 x}{51} = \frac{- 153}{51}$

Divide $x$ by $1$ .

$x = \frac{- 153}{51}$

Simplify the right side.

Divide $- 153$ by $51$ .

$x = - 3$