15+7h-9=2h-6+8h

Solution for 15+7h-9=2h-6+8h equation:

Simplifying
15 + 7h + -9 = 2h + -6 + 8h

Reorder the terms:
15 + -9 + 7h = 2h + -6 + 8h

Combine like terms: 15 + -9 = 6
6 + 7h = 2h + -6 + 8h

Reorder the terms:
6 + 7h = -6 + 2h + 8h

Combine like terms: 2h + 8h = 10h
6 + 7h = -6 + 10h

Solving
6 + 7h = -6 + 10h

Solving for variable 'h'.

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

Add '-10h' to each side of the equation.
6 + 7h + -10h = -6 + 10h + -10h

Combine like terms: 7h + -10h = -3h
6 + -3h = -6 + 10h + -10h

Combine like terms: 10h + -10h = 0
6 + -3h = -6 + 0
6 + -3h = -6

Add '-6' to each side of the equation.
6 + -6 + -3h = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -3h = -6 + -6
-3h = -6 + -6

Combine like terms: -6 + -6 = -12
-3h = -12

Divide each side by '-3'.
h = 4

Simplifying
h = 4