2(h+3)-5(h-1)=-28

Solution for 2(h+3)-5(h-1)=-28 equation:

Simplifying
2(h + 3) + -5(h + -1) = -28

Reorder the terms:
2(3 + h) + -5(h + -1) = -28
(3 * 2 + h * 2) + -5(h + -1) = -28
(6 + 2h) + -5(h + -1) = -28

Reorder the terms:
6 + 2h + -5(-1 + h) = -28
6 + 2h + (-1 * -5 + h * -5) = -28
6 + 2h + (5 + -5h) = -28

Reorder the terms:
6 + 5 + 2h + -5h = -28

Combine like terms: 6 + 5 = 11
11 + 2h + -5h = -28

Combine like terms: 2h + -5h = -3h
11 + -3h = -28

Solving
11 + -3h = -28

Solving for variable 'h'.

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

Add '-11' to each side of the equation.
11 + -11 + -3h = -28 + -11

Combine like terms: 11 + -11 = 0
0 + -3h = -28 + -11
-3h = -28 + -11

Combine like terms: -28 + -11 = -39
-3h = -39

Divide each side by '-3'.
h = 13

Simplifying
h = 13