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

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

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

Reorder the terms:
5(2 + h) = 3(h + -2)
(2 * 5 + h * 5) = 3(h + -2)
(10 + 5h) = 3(h + -2)

Reorder the terms:
10 + 5h = 3(-2 + h)
10 + 5h = (-2 * 3 + h * 3)
10 + 5h = (-6 + 3h)

Solving
10 + 5h = -6 + 3h

Solving for variable 'h'.

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

Add '-3h' to each side of the equation.
10 + 5h + -3h = -6 + 3h + -3h

Combine like terms: 5h + -3h = 2h
10 + 2h = -6 + 3h + -3h

Combine like terms: 3h + -3h = 0
10 + 2h = -6 + 0
10 + 2h = -6

Add '-10' to each side of the equation.
10 + -10 + 2h = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 2h = -6 + -10
2h = -6 + -10

Combine like terms: -6 + -10 = -16
2h = -16

Divide each side by '2'.
h = -8

Simplifying
h = -8