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

Solution for 5h-6=2(3h+4)-2(h+1) equation:

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

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

Reorder the terms:
-6 + 5h = 2(4 + 3h) + -2(h + 1)
-6 + 5h = (4 * 2 + 3h * 2) + -2(h + 1)
-6 + 5h = (8 + 6h) + -2(h + 1)

Reorder the terms:
-6 + 5h = 8 + 6h + -2(1 + h)
-6 + 5h = 8 + 6h + (1 * -2 + h * -2)
-6 + 5h = 8 + 6h + (-2 + -2h)

Reorder the terms:
-6 + 5h = 8 + -2 + 6h + -2h

Combine like terms: 8 + -2 = 6
-6 + 5h = 6 + 6h + -2h

Combine like terms: 6h + -2h = 4h
-6 + 5h = 6 + 4h

Solving
-6 + 5h = 6 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
-6 + 5h + -4h = 6 + 4h + -4h

Combine like terms: 5h + -4h = 1h
-6 + 1h = 6 + 4h + -4h

Combine like terms: 4h + -4h = 0
-6 + 1h = 6 + 0
-6 + 1h = 6

Add '6' to each side of the equation.
-6 + 6 + 1h = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 1h = 6 + 6
1h = 6 + 6

Combine like terms: 6 + 6 = 12
1h = 12

Divide each side by '1'.
h = 12

Simplifying
h = 12