Solve for x -3(x-4)=9x

$- 3 (x - 4) = 9 x$

Step 1

Simplify $- 3 (x - 4)$ .

Start simplifying.

$0 + 0 - 3 (x - 4) = 9 x$

Simplify by adding zeros.

$- 3 (x - 4) = 9 x$

Apply the distributive property.

$- 3 x - 3 \cdot - 4 = 9 x$

Multiply $- 3$ by $- 4$ .

$- 3 x + 12 = 9 x$

Step 2

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

Subtract $9 x$ from both sides of the equation.

$- 3 x + 12 - 9 x = 0$

Subtract $9 x$ from $- 3 x$ .

$- 12 x + 12 = 0$

Step 3

Subtract $12$ from both sides of the equation.

$- 12 x = - 12$

Step 4

Divide each term in $- 12 x = - 12$ by $- 12$ and simplify.

Divide each term in $- 12 x = - 12$ by $- 12$ .

$\frac{- 12 x}{- 12} = \frac{- 12}{- 12}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 x}{- 12} = \frac{- 12}{- 12}$

Divide $x$ by $1$ .

$x = \frac{- 12}{- 12}$

Simplify the right side.

Divide $- 12$ by $- 12$ .

$x = 1$