Solve for w -11w+7+10w=19+2w

$- 11 w + 7 + 10 w = 19 + 2 w$

Add $- 11 w$ and $10 w$ .

$- w + 7 = 19 + 2 w$

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

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

$- w + 7 - 2 w = 19$

Subtract $2 w$ from $- w$ .

$- 3 w + 7 = 19$

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

Subtract $7$ from both sides of the equation.

$- 3 w = 19 - 7$

Subtract $7$ from $19$ .

$- 3 w = 12$

Divide each term in $- 3 w = 12$ by $- 3$ and simplify.

Divide each term in $- 3 w = 12$ by $- 3$ .

$\frac{- 3 w}{- 3} = \frac{12}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 w}{- 3} = \frac{12}{- 3}$

Divide $w$ by $1$ .

$w = \frac{12}{- 3}$

Simplify the right side.

Divide $12$ by $- 3$ .

$w = - 4$