4h-(6h-12)=3(3h-8)+h

Solution for 4h-(6h-12)=3(3h-8)+h equation:

Simplifying
4h + -1(6h + -12) = 3(3h + -8) + h

Reorder the terms:
4h + -1(-12 + 6h) = 3(3h + -8) + h
4h + (-12 * -1 + 6h * -1) = 3(3h + -8) + h
4h + (12 + -6h) = 3(3h + -8) + h

Reorder the terms:
12 + 4h + -6h = 3(3h + -8) + h

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

Reorder the terms:
12 + -2h = 3(-8 + 3h) + h
12 + -2h = (-8 * 3 + 3h * 3) + h
12 + -2h = (-24 + 9h) + h

Combine like terms: 9h + h = 10h
12 + -2h = -24 + 10h

Solving
12 + -2h = -24 + 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.
12 + -2h + -10h = -24 + 10h + -10h

Combine like terms: -2h + -10h = -12h
12 + -12h = -24 + 10h + -10h

Combine like terms: 10h + -10h = 0
12 + -12h = -24 + 0
12 + -12h = -24

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

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

Combine like terms: -24 + -12 = -36
-12h = -36

Divide each side by '-12'.
h = 3

Simplifying
h = 3