6(2h-1)=2(h+8)-(2h-8)

Solution for 6(2h-1)=2(h+8)-(2h-8) equation:

Simplifying
6(2h + -1) = 2(h + 8) + -1(2h + -8)

Reorder the terms:
6(-1 + 2h) = 2(h + 8) + -1(2h + -8)
(-1 * 6 + 2h * 6) = 2(h + 8) + -1(2h + -8)
(-6 + 12h) = 2(h + 8) + -1(2h + -8)

Reorder the terms:
-6 + 12h = 2(8 + h) + -1(2h + -8)
-6 + 12h = (8 * 2 + h * 2) + -1(2h + -8)
-6 + 12h = (16 + 2h) + -1(2h + -8)

Reorder the terms:
-6 + 12h = 16 + 2h + -1(-8 + 2h)
-6 + 12h = 16 + 2h + (-8 * -1 + 2h * -1)
-6 + 12h = 16 + 2h + (8 + -2h)

Reorder the terms:
-6 + 12h = 16 + 8 + 2h + -2h

Combine like terms: 16 + 8 = 24
-6 + 12h = 24 + 2h + -2h

Combine like terms: 2h + -2h = 0
-6 + 12h = 24 + 0
-6 + 12h = 24

Solving
-6 + 12h = 24

Solving for variable 'h'.

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

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

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

Combine like terms: 24 + 6 = 30
12h = 30

Divide each side by '12'.
h = 2.5

Simplifying
h = 2.5