3(2h-5)+2(h+7)=23

Solution for 3(2h-5)+2(h+7)=23 equation:

Simplifying
3(2h + -5) + 2(h + 7) = 23

Reorder the terms:
3(-5 + 2h) + 2(h + 7) = 23
(-5 * 3 + 2h * 3) + 2(h + 7) = 23
(-15 + 6h) + 2(h + 7) = 23

Reorder the terms:
-15 + 6h + 2(7 + h) = 23
-15 + 6h + (7 * 2 + h * 2) = 23
-15 + 6h + (14 + 2h) = 23

Reorder the terms:
-15 + 14 + 6h + 2h = 23

Combine like terms: -15 + 14 = -1
-1 + 6h + 2h = 23

Combine like terms: 6h + 2h = 8h
-1 + 8h = 23

Solving
-1 + 8h = 23

Solving for variable 'h'.

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

Add '1' to each side of the equation.
-1 + 1 + 8h = 23 + 1

Combine like terms: -1 + 1 = 0
0 + 8h = 23 + 1
8h = 23 + 1

Combine like terms: 23 + 1 = 24
8h = 24

Divide each side by '8'.
h = 3

Simplifying
h = 3