2(3h-4)+4(h+5)=3(2h+8)

Solution for 2(3h-4)+4(h+5)=3(2h+8) equation:

Simplifying
2(3h + -4) + 4(h + 5) = 3(2h + 8)

Reorder the terms:
2(-4 + 3h) + 4(h + 5) = 3(2h + 8)
(-4 * 2 + 3h * 2) + 4(h + 5) = 3(2h + 8)
(-8 + 6h) + 4(h + 5) = 3(2h + 8)

Reorder the terms:
-8 + 6h + 4(5 + h) = 3(2h + 8)
-8 + 6h + (5 * 4 + h * 4) = 3(2h + 8)
-8 + 6h + (20 + 4h) = 3(2h + 8)

Reorder the terms:
-8 + 20 + 6h + 4h = 3(2h + 8)

Combine like terms: -8 + 20 = 12
12 + 6h + 4h = 3(2h + 8)

Combine like terms: 6h + 4h = 10h
12 + 10h = 3(2h + 8)

Reorder the terms:
12 + 10h = 3(8 + 2h)
12 + 10h = (8 * 3 + 2h * 3)
12 + 10h = (24 + 6h)

Solving
12 + 10h = 24 + 6h

Solving for variable 'h'.

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

Add '-6h' to each side of the equation.
12 + 10h + -6h = 24 + 6h + -6h

Combine like terms: 10h + -6h = 4h
12 + 4h = 24 + 6h + -6h

Combine like terms: 6h + -6h = 0
12 + 4h = 24 + 0
12 + 4h = 24

Add '-12' to each side of the equation.
12 + -12 + 4h = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 4h = 24 + -12
4h = 24 + -12

Combine like terms: 24 + -12 = 12
4h = 12

Divide each side by '4'.
h = 3

Simplifying
h = 3