3(h+1)=2(h+6)

Solution for 3(h+1)=2(h+6) equation:

Simplifying
3(h + 1) = 2(h + 6)

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

Reorder the terms:
3 + 3h = 2(6 + h)
3 + 3h = (6 * 2 + h * 2)
3 + 3h = (12 + 2h)

Solving
3 + 3h = 12 + 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 + 3h + -2h = 12 + 2h + -2h

Combine like terms: 3h + -2h = 1h
3 + 1h = 12 + 2h + -2h

Combine like terms: 2h + -2h = 0
3 + 1h = 12 + 0
3 + 1h = 12

Add '-3' to each side of the equation.
3 + -3 + 1h = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 1h = 12 + -3
1h = 12 + -3

Combine like terms: 12 + -3 = 9
1h = 9

Divide each side by '1'.
h = 9

Simplifying
h = 9