3(3+h)=2(h+5)

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

Simplifying
3(3 + h) = 2(h + 5)
(3 * 3 + h * 3) = 2(h + 5)
(9 + 3h) = 2(h + 5)

Reorder the terms:
9 + 3h = 2(5 + h)
9 + 3h = (5 * 2 + h * 2)
9 + 3h = (10 + 2h)

Solving
9 + 3h = 10 + 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.
9 + 3h + -2h = 10 + 2h + -2h

Combine like terms: 3h + -2h = 1h
9 + 1h = 10 + 2h + -2h

Combine like terms: 2h + -2h = 0
9 + 1h = 10 + 0
9 + 1h = 10

Add '-9' to each side of the equation.
9 + -9 + 1h = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 1h = 10 + -9
1h = 10 + -9

Combine like terms: 10 + -9 = 1
1h = 1

Divide each side by '1'.
h = 1

Simplifying
h = 1