4(2h+2)+24=4(h-12)

Solution for 4(2h+2)+24=4(h-12) equation:

Simplifying
4(2h + 2) + 24 = 4(h + -12)

Reorder the terms:
4(2 + 2h) + 24 = 4(h + -12)
(2 * 4 + 2h * 4) + 24 = 4(h + -12)
(8 + 8h) + 24 = 4(h + -12)

Reorder the terms:
8 + 24 + 8h = 4(h + -12)

Combine like terms: 8 + 24 = 32
32 + 8h = 4(h + -12)

Reorder the terms:
32 + 8h = 4(-12 + h)
32 + 8h = (-12 * 4 + h * 4)
32 + 8h = (-48 + 4h)

Solving
32 + 8h = -48 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
32 + 8h + -4h = -48 + 4h + -4h

Combine like terms: 8h + -4h = 4h
32 + 4h = -48 + 4h + -4h

Combine like terms: 4h + -4h = 0
32 + 4h = -48 + 0
32 + 4h = -48

Add '-32' to each side of the equation.
32 + -32 + 4h = -48 + -32

Combine like terms: 32 + -32 = 0
0 + 4h = -48 + -32
4h = -48 + -32

Combine like terms: -48 + -32 = -80
4h = -80

Divide each side by '4'.
h = -20

Simplifying
h = -20