h+6=5(3h-3)

Solution for h+6=5(3h-3) equation:

Simplifying
h + 6 = 5(3h + -3)

Reorder the terms:
6 + h = 5(3h + -3)

Reorder the terms:
6 + h = 5(-3 + 3h)
6 + h = (-3 * 5 + 3h * 5)
6 + h = (-15 + 15h)

Solving
6 + h = -15 + 15h

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '-15h' to each side of the equation.
6 + h + -15h = -15 + 15h + -15h

Combine like terms: h + -15h = -14h
6 + -14h = -15 + 15h + -15h

Combine like terms: 15h + -15h = 0
6 + -14h = -15 + 0
6 + -14h = -15

Add '-6' to each side of the equation.
6 + -6 + -14h = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -14h = -15 + -6
-14h = -15 + -6

Combine like terms: -15 + -6 = -21
-14h = -21

Divide each side by '-14'.
h = 1.5

Simplifying
h = 1.5