3(h+2)=11-2(h-5)

Solution for 3(h+2)=11-2(h-5) equation:

Simplifying
3(h + 2) = 11 + -2(h + -5)

Reorder the terms:
3(2 + h) = 11 + -2(h + -5)
(2 * 3 + h * 3) = 11 + -2(h + -5)
(6 + 3h) = 11 + -2(h + -5)

Reorder the terms:
6 + 3h = 11 + -2(-5 + h)
6 + 3h = 11 + (-5 * -2 + h * -2)
6 + 3h = 11 + (10 + -2h)

Combine like terms: 11 + 10 = 21
6 + 3h = 21 + -2h

Solving
6 + 3h = 21 + -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.
6 + 3h + 2h = 21 + -2h + 2h

Combine like terms: 3h + 2h = 5h
6 + 5h = 21 + -2h + 2h

Combine like terms: -2h + 2h = 0
6 + 5h = 21 + 0
6 + 5h = 21

Add '-6' to each side of the equation.
6 + -6 + 5h = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 5h = 21 + -6
5h = 21 + -6

Combine like terms: 21 + -6 = 15
5h = 15

Divide each side by '5'.
h = 3

Simplifying
h = 3