Solve for h -3(h+5)+2=4(h+6)-9

$- 3 (h + 5) + 2 = 4 (h + 6) - 9$

Simplify $- 3 (h + 5) + 2$ .

Simplify each term.

Apply the distributive property.

$- 3 h - 3 \cdot 5 + 2 = 4 (h + 6) - 9$

Multiply $- 3$ by $5$ .

$- 3 h - 15 + 2 = 4 (h + 6) - 9$

Add $- 15$ and $2$ .

$- 3 h - 13 = 4 (h + 6) - 9$

Simplify $4 (h + 6) - 9$ .

Simplify each term.

Apply the distributive property.

$- 3 h - 13 = 4 h + 4 \cdot 6 - 9$

Multiply $4$ by $6$ .

$- 3 h - 13 = 4 h + 24 - 9$

Subtract $9$ from $24$ .

$- 3 h - 13 = 4 h + 15$

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

Subtract $4 h$ from both sides of the equation.

$- 3 h - 13 - 4 h = 15$

Subtract $4 h$ from $- 3 h$ .

$- 7 h - 13 = 15$

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

Add $13$ to both sides of the equation.

$- 7 h = 15 + 13$

Add $15$ and $13$ .

$- 7 h = 28$

Divide each term in $- 7 h = 28$ by $- 7$ and simplify.

Divide each term in $- 7 h = 28$ by $- 7$ .

$\frac{- 7 h}{- 7} = \frac{28}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 h}{- 7} = \frac{28}{- 7}$

Divide $h$ by $1$ .

$h = \frac{28}{- 7}$

Simplify the right side.

Divide $28$ by $- 7$ .

$h = - 4$