6(5-4h)=3(4h-2)-7(6+8h)

Solution for 6(5-4h)=3(4h-2)-7(6+8h) equation:

Simplifying
6(5 + -4h) = 3(4h + -2) + -7(6 + 8h)
(5 * 6 + -4h * 6) = 3(4h + -2) + -7(6 + 8h)
(30 + -24h) = 3(4h + -2) + -7(6 + 8h)

Reorder the terms:
30 + -24h = 3(-2 + 4h) + -7(6 + 8h)
30 + -24h = (-2 * 3 + 4h * 3) + -7(6 + 8h)
30 + -24h = (-6 + 12h) + -7(6 + 8h)
30 + -24h = -6 + 12h + (6 * -7 + 8h * -7)
30 + -24h = -6 + 12h + (-42 + -56h)

Reorder the terms:
30 + -24h = -6 + -42 + 12h + -56h

Combine like terms: -6 + -42 = -48
30 + -24h = -48 + 12h + -56h

Combine like terms: 12h + -56h = -44h
30 + -24h = -48 + -44h

Solving
30 + -24h = -48 + -44h

Solving for variable 'h'.

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

Add '44h' to each side of the equation.
30 + -24h + 44h = -48 + -44h + 44h

Combine like terms: -24h + 44h = 20h
30 + 20h = -48 + -44h + 44h

Combine like terms: -44h + 44h = 0
30 + 20h = -48 + 0
30 + 20h = -48

Add '-30' to each side of the equation.
30 + -30 + 20h = -48 + -30

Combine like terms: 30 + -30 = 0
0 + 20h = -48 + -30
20h = -48 + -30

Combine like terms: -48 + -30 = -78
20h = -78

Divide each side by '20'.
h = -3.9

Simplifying
h = -3.9