Solve for x 15=-3(x-1)+9

$15 = - 3 (x - 1) + 9$

Step 1

Rewrite the equation as $- 3 (x - 1) + 9 = 15$ .

$- 3 (x - 1) + 9 = 15$

Step 2

Simplify $- 3 (x - 1) + 9$ .

Simplify each term.

Apply the distributive property.

$- 3 x - 3 \cdot - 1 + 9 = 15$

Multiply $- 3$ by $- 1$ .

$- 3 x + 3 + 9 = 15$

Add $3$ and $9$ .

$- 3 x + 12 = 15$

Step 3

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

Subtract $12$ from both sides of the equation.

$- 3 x = 15 - 12$

Subtract $12$ from $15$ .

$- 3 x = 3$

Step 4

Divide each term in $- 3 x = 3$ by $- 3$ and simplify.

Divide each term in $- 3 x = 3$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{3}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{3}{- 3}$

Divide $x$ by $1$ .

$x = \frac{3}{- 3}$

Simplify the right side.

Divide $3$ by $- 3$ .

$x = - 1$