3(h-2)=5(h+4)

Solution for 3(h-2)=5(h+4) equation:

Simplifying
3(h + -2) = 5(h + 4)

Reorder the terms:
3(-2 + h) = 5(h + 4)
(-2 * 3 + h * 3) = 5(h + 4)
(-6 + 3h) = 5(h + 4)

Reorder the terms:
-6 + 3h = 5(4 + h)
-6 + 3h = (4 * 5 + h * 5)
-6 + 3h = (20 + 5h)

Solving
-6 + 3h = 20 + 5h

Solving for variable 'h'.

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

Add '-5h' to each side of the equation.
-6 + 3h + -5h = 20 + 5h + -5h

Combine like terms: 3h + -5h = -2h
-6 + -2h = 20 + 5h + -5h

Combine like terms: 5h + -5h = 0
-6 + -2h = 20 + 0
-6 + -2h = 20

Add '6' to each side of the equation.
-6 + 6 + -2h = 20 + 6

Combine like terms: -6 + 6 = 0
0 + -2h = 20 + 6
-2h = 20 + 6

Combine like terms: 20 + 6 = 26
-2h = 26

Divide each side by '-2'.
h = -13

Simplifying
h = -13