Solve for h 5(3h-18)=-7+20h+17

$5 (3 h - 18) = - 7 + 20 h + 17$

Simplify $5 (3 h - 18)$ .

Rewrite.

$0 + 0 + 5 (3 h - 18) = - 7 + 20 h + 17$

Simplify by adding zeros.

$5 (3 h - 18) = - 7 + 20 h + 17$

Apply the distributive property.

$5 (3 h) + 5 \cdot - 18 = - 7 + 20 h + 17$

Multiply.

Multiply $3$ by $5$ .

$15 h + 5 \cdot - 18 = - 7 + 20 h + 17$

Multiply $5$ by $- 18$ .

$15 h - 90 = - 7 + 20 h + 17$

Add $- 7$ and $17$ .

$15 h - 90 = 20 h + 10$

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

Subtract $20 h$ from both sides of the equation.

$15 h - 90 - 20 h = 10$

Subtract $20 h$ from $15 h$ .

$- 5 h - 90 = 10$

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

Add $90$ to both sides of the equation.

$- 5 h = 10 + 90$

Add $10$ and $90$ .

$- 5 h = 100$

Divide each term in $- 5 h = 100$ by $- 5$ and simplify.

Divide each term in $- 5 h = 100$ by $- 5$ .

$\frac{- 5 h}{- 5} = \frac{100}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 h}{- 5} = \frac{100}{- 5}$

Divide $h$ by $1$ .

$h = \frac{100}{- 5}$

Simplify the right side.

Divide $100$ by $- 5$ .

$h = - 20$