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

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

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

Reorder the terms:
3(2 + 4h) = 5(2h + -3)
(2 * 3 + 4h * 3) = 5(2h + -3)
(6 + 12h) = 5(2h + -3)

Reorder the terms:
6 + 12h = 5(-3 + 2h)
6 + 12h = (-3 * 5 + 2h * 5)
6 + 12h = (-15 + 10h)

Solving
6 + 12h = -15 + 10h

Solving for variable 'h'.

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

Add '-10h' to each side of the equation.
6 + 12h + -10h = -15 + 10h + -10h

Combine like terms: 12h + -10h = 2h
6 + 2h = -15 + 10h + -10h

Combine like terms: 10h + -10h = 0
6 + 2h = -15 + 0
6 + 2h = -15

Add '-6' to each side of the equation.
6 + -6 + 2h = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 2h = -15 + -6
2h = -15 + -6

Combine like terms: -15 + -6 = -21
2h = -21

Divide each side by '2'.
h = -10.5

Simplifying
h = -10.5