Solve for w 9(2+w)-4w=3w-10

$9 (2 + w) - 4 w = 3 w - 10$

Simplify $9 (2 + w) - 4 w$ .

Simplify each term.

Apply the distributive property.

$9 \cdot 2 + 9 w - 4 w = 3 w - 10$

Multiply $9$ by $2$ .

$18 + 9 w - 4 w = 3 w - 10$

Subtract $4 w$ from $9 w$ .

$18 + 5 w = 3 w - 10$

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

Subtract $3 w$ from both sides of the equation.

$18 + 5 w - 3 w = - 10$

Subtract $3 w$ from $5 w$ .

$18 + 2 w = - 10$

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

Subtract $18$ from both sides of the equation.

$2 w = - 10 - 18$

Subtract $18$ from $- 10$ .

$2 w = - 28$

Divide each term in $2 w = - 28$ by $2$ and simplify.

Divide each term in $2 w = - 28$ by $2$ .

$\frac{2 w}{2} = \frac{- 28}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 w}{2} = \frac{- 28}{2}$

Divide $w$ by $1$ .

$w = \frac{- 28}{2}$

Simplify the right side.

Divide $- 28$ by $2$ .

$w = - 14$