Solve for h 2(3h+9)=3(-2h+10)

$2 (3 h + 9) = 3 (- 2 h + 10)$

Simplify $2 (3 h + 9)$ .

Start simplifying.

$0 + 0 + 2 (3 h + 9) = 3 (- 2 h + 10)$

Simplify by adding zeros.

$2 (3 h + 9) = 3 (- 2 h + 10)$

Apply the distributive property.

$2 (3 h) + 2 \cdot 9 = 3 (- 2 h + 10)$

Multiply.

Multiply $3$ by $2$ .

$6 h + 2 \cdot 9 = 3 (- 2 h + 10)$

Multiply $2$ by $9$ .

$6 h + 18 = 3 (- 2 h + 10)$

Simplify $3 (- 2 h + 10)$ .

Apply the distributive property.

$6 h + 18 = 3 (- 2 h) + 3 \cdot 10$

Multiply.

Multiply $- 2$ by $3$ .

$6 h + 18 = - 6 h + 3 \cdot 10$

Multiply $3$ by $10$ .

$6 h + 18 = - 6 h + 30$

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

Add $6 h$ to both sides of the equation.

$6 h + 18 + 6 h = 30$

Add $6 h$ and $6 h$ .

$12 h + 18 = 30$

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

Subtract $18$ from both sides of the equation.

$12 h = 30 - 18$

Subtract $18$ from $30$ .

$12 h = 12$

Divide each term in $12 h = 12$ by $12$ and simplify.

Divide each term in $12 h = 12$ by $12$ .

$\frac{12 h}{12} = \frac{12}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 h}{12} = \frac{12}{12}$

Divide $h$ by $1$ .

$h = \frac{12}{12}$

Simplify the right side.

Divide $12$ by $12$ .

$h = 1$