Solve for w 3w-(7w+12)=2(w-3)

$3 w - (7 w + 12) = 2 (w - 3)$

Simplify $3 w - (7 w + 12)$ .

Simplify each term.

Apply the distributive property.

$3 w - (7 w) - 1 \cdot 12 = 2 (w - 3)$

Multiply $7$ by $- 1$ .

$3 w - 7 w - 1 \cdot 12 = 2 (w - 3)$

Multiply $- 1$ by $12$ .

$3 w - 7 w - 12 = 2 (w - 3)$

Subtract $7 w$ from $3 w$ .

$- 4 w - 12 = 2 (w - 3)$

Simplify $2 (w - 3)$ .

Apply the distributive property.

$- 4 w - 12 = 2 w + 2 \cdot - 3$

Multiply $2$ by $- 3$ .

$- 4 w - 12 = 2 w - 6$

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

Subtract $2 w$ from both sides of the equation.

$- 4 w - 12 - 2 w = - 6$

Subtract $2 w$ from $- 4 w$ .

$- 6 w - 12 = - 6$

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

Add $12$ to both sides of the equation.

$- 6 w = - 6 + 12$

Add $- 6$ and $12$ .

$- 6 w = 6$

Divide each term in $- 6 w = 6$ by $- 6$ and simplify.

Divide each term in $- 6 w = 6$ by $- 6$ .

$\frac{- 6 w}{- 6} = \frac{6}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 w}{- 6} = \frac{6}{- 6}$

Divide $w$ by $1$ .

$w = \frac{6}{- 6}$

Simplify the right side.

Divide $6$ by $- 6$ .

$w = - 1$