Solve for x -189=4x-3(-4x+15)

$- 189 = 4 x - 3 (- 4 x + 15)$

Rewrite the equation as $4 x - 3 (- 4 x + 15) = - 189$ .

$4 x - 3 (- 4 x + 15) = - 189$

Simplify $4 x - 3 (- 4 x + 15)$ .

Simplify each term.

Apply the distributive property.

$4 x - 3 (- 4 x) - 3 \cdot 15 = - 189$

Multiply $- 4$ by $- 3$ .

$4 x + 12 x - 3 \cdot 15 = - 189$

Multiply $- 3$ by $15$ .

$4 x + 12 x - 45 = - 189$

Add $4 x$ and $12 x$ .

$16 x - 45 = - 189$

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

Add $45$ to both sides of the equation.

$16 x = - 189 + 45$

Add $- 189$ and $45$ .

$16 x = - 144$

Divide each term in $16 x = - 144$ by $16$ and simplify.

Divide each term in $16 x = - 144$ by $16$ .

$\frac{16 x}{16} = \frac{- 144}{16}$

Simplify the left side.

Cancel the common factor of $16$ .

Cancel the common factor.

$\frac{16 x}{16} = \frac{- 144}{16}$

Divide $x$ by $1$ .

$x = \frac{- 144}{16}$

Simplify the right side.

Divide $- 144$ by $16$ .

$x = - 9$