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

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

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

Reorder the terms:
3(1 + 3h) + -2(h + 3) = 2(h + -3) + -2
(1 * 3 + 3h * 3) + -2(h + 3) = 2(h + -3) + -2
(3 + 9h) + -2(h + 3) = 2(h + -3) + -2

Reorder the terms:
3 + 9h + -2(3 + h) = 2(h + -3) + -2
3 + 9h + (3 * -2 + h * -2) = 2(h + -3) + -2
3 + 9h + (-6 + -2h) = 2(h + -3) + -2

Reorder the terms:
3 + -6 + 9h + -2h = 2(h + -3) + -2

Combine like terms: 3 + -6 = -3
-3 + 9h + -2h = 2(h + -3) + -2

Combine like terms: 9h + -2h = 7h
-3 + 7h = 2(h + -3) + -2

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

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

Combine like terms: -6 + -2 = -8
-3 + 7h = -8 + 2h

Solving
-3 + 7h = -8 + 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 + 7h + -2h = -8 + 2h + -2h

Combine like terms: 7h + -2h = 5h
-3 + 5h = -8 + 2h + -2h

Combine like terms: 2h + -2h = 0
-3 + 5h = -8 + 0
-3 + 5h = -8

Add '3' to each side of the equation.
-3 + 3 + 5h = -8 + 3

Combine like terms: -3 + 3 = 0
0 + 5h = -8 + 3
5h = -8 + 3

Combine like terms: -8 + 3 = -5
5h = -5

Divide each side by '5'.
h = -1

Simplifying
h = -1