3(2h+2)-2(h+7)=(h-7)-7

Solution for 3(2h+2)-2(h+7)=(h-7)-7 equation:

Simplifying
3(2h + 2) + -2(h + 7) = (h + -7) + -7

Reorder the terms:
3(2 + 2h) + -2(h + 7) = (h + -7) + -7
(2 * 3 + 2h * 3) + -2(h + 7) = (h + -7) + -7
(6 + 6h) + -2(h + 7) = (h + -7) + -7

Reorder the terms:
6 + 6h + -2(7 + h) = (h + -7) + -7
6 + 6h + (7 * -2 + h * -2) = (h + -7) + -7
6 + 6h + (-14 + -2h) = (h + -7) + -7

Reorder the terms:
6 + -14 + 6h + -2h = (h + -7) + -7

Combine like terms: 6 + -14 = -8
-8 + 6h + -2h = (h + -7) + -7

Combine like terms: 6h + -2h = 4h
-8 + 4h = (h + -7) + -7

Reorder the terms:
-8 + 4h = (-7 + h) + -7

Remove parenthesis around (-7 + h)
-8 + 4h = -7 + h + -7

Reorder the terms:
-8 + 4h = -7 + -7 + h

Combine like terms: -7 + -7 = -14
-8 + 4h = -14 + h

Solving
-8 + 4h = -14 + h

Solving for variable 'h'.

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

Add '-1h' to each side of the equation.
-8 + 4h + -1h = -14 + h + -1h

Combine like terms: 4h + -1h = 3h
-8 + 3h = -14 + h + -1h

Combine like terms: h + -1h = 0
-8 + 3h = -14 + 0
-8 + 3h = -14

Add '8' to each side of the equation.
-8 + 8 + 3h = -14 + 8

Combine like terms: -8 + 8 = 0
0 + 3h = -14 + 8
3h = -14 + 8

Combine like terms: -14 + 8 = -6
3h = -6

Divide each side by '3'.
h = -2

Simplifying
h = -2