5(4h-3)=12-2(6-h)

Solution for 5(4h-3)=12-2(6-h) equation:

Simplifying
5(4h + -3) = 12 + -2(6 + -1h)

Reorder the terms:
5(-3 + 4h) = 12 + -2(6 + -1h)
(-3 * 5 + 4h * 5) = 12 + -2(6 + -1h)
(-15 + 20h) = 12 + -2(6 + -1h)
-15 + 20h = 12 + (6 * -2 + -1h * -2)
-15 + 20h = 12 + (-12 + 2h)

Combine like terms: 12 + -12 = 0
-15 + 20h = 0 + 2h
-15 + 20h = 2h

Solving
-15 + 20h = 2h

Solving for variable 'h'.

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

Add '-2h' to each side of the equation.
-15 + 20h + -2h = 2h + -2h

Combine like terms: 20h + -2h = 18h
-15 + 18h = 2h + -2h

Combine like terms: 2h + -2h = 0
-15 + 18h = 0

Add '15' to each side of the equation.
-15 + 15 + 18h = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 18h = 0 + 15
18h = 0 + 15

Combine like terms: 0 + 15 = 15
18h = 15

Divide each side by '18'.
h = 0.8333333333

Simplifying
h = 0.8333333333