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

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

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

Reorder the terms:
6(5 + -3h) + -4(2h + 2) = -3(6 + 8h)
(5 * 6 + -3h * 6) + -4(2h + 2) = -3(6 + 8h)
(30 + -18h) + -4(2h + 2) = -3(6 + 8h)

Reorder the terms:
30 + -18h + -4(2 + 2h) = -3(6 + 8h)
30 + -18h + (2 * -4 + 2h * -4) = -3(6 + 8h)
30 + -18h + (-8 + -8h) = -3(6 + 8h)

Reorder the terms:
30 + -8 + -18h + -8h = -3(6 + 8h)

Combine like terms: 30 + -8 = 22
22 + -18h + -8h = -3(6 + 8h)

Combine like terms: -18h + -8h = -26h
22 + -26h = -3(6 + 8h)
22 + -26h = (6 * -3 + 8h * -3)
22 + -26h = (-18 + -24h)

Solving
22 + -26h = -18 + -24h

Solving for variable 'h'.

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

Add '24h' to each side of the equation.
22 + -26h + 24h = -18 + -24h + 24h

Combine like terms: -26h + 24h = -2h
22 + -2h = -18 + -24h + 24h

Combine like terms: -24h + 24h = 0
22 + -2h = -18 + 0
22 + -2h = -18

Add '-22' to each side of the equation.
22 + -22 + -2h = -18 + -22

Combine like terms: 22 + -22 = 0
0 + -2h = -18 + -22
-2h = -18 + -22

Combine like terms: -18 + -22 = -40
-2h = -40

Divide each side by '-2'.
h = 20

Simplifying
h = 20