5h+3=2h-6

Solution for 5h+3=2h-6 equation:

Simplifying
5h + 3 = 2h + -6

Reorder the terms:
3 + 5h = 2h + -6

Reorder the terms:
3 + 5h = -6 + 2h

Solving
3 + 5h = -6 + 2h

Solving for variable 'h'.

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

Add '-2h' to each side of the equation.
3 + 5h + -2h = -6 + 2h + -2h

Combine like terms: 5h + -2h = 3h
3 + 3h = -6 + 2h + -2h

Combine like terms: 2h + -2h = 0
3 + 3h = -6 + 0
3 + 3h = -6

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

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

Combine like terms: -6 + -3 = -9
3h = -9

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

Simplifying
h = -3