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

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

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

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

Combine like terms: 2 + 5 = 7
6(7 + -2h) = 2(-6 + -3h)
(7 * 6 + -2h * 6) = 2(-6 + -3h)
(42 + -12h) = 2(-6 + -3h)
42 + -12h = (-6 * 2 + -3h * 2)
42 + -12h = (-12 + -6h)

Solving
42 + -12h = -12 + -6h

Solving for variable 'h'.

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

Add '6h' to each side of the equation.
42 + -12h + 6h = -12 + -6h + 6h

Combine like terms: -12h + 6h = -6h
42 + -6h = -12 + -6h + 6h

Combine like terms: -6h + 6h = 0
42 + -6h = -12 + 0
42 + -6h = -12

Add '-42' to each side of the equation.
42 + -42 + -6h = -12 + -42

Combine like terms: 42 + -42 = 0
0 + -6h = -12 + -42
-6h = -12 + -42

Combine like terms: -12 + -42 = -54
-6h = -54

Divide each side by '-6'.
h = 9

Simplifying
h = 9