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 = 14
-2h = 14

Divide each side by '-2'.
h = -7

Simplifying
h = -7