3(2h+1)-2(h+6)=19

Solution for 3(2h+1)-2(h+6)=19 equation:

Simplifying
3(2h + 1) + -2(h + 6) = 19

Reorder the terms:
3(1 + 2h) + -2(h + 6) = 19
(1 * 3 + 2h * 3) + -2(h + 6) = 19
(3 + 6h) + -2(h + 6) = 19

Reorder the terms:
3 + 6h + -2(6 + h) = 19
3 + 6h + (6 * -2 + h * -2) = 19
3 + 6h + (-12 + -2h) = 19

Reorder the terms:
3 + -12 + 6h + -2h = 19

Combine like terms: 3 + -12 = -9
-9 + 6h + -2h = 19

Combine like terms: 6h + -2h = 4h
-9 + 4h = 19

Solving
-9 + 4h = 19

Solving for variable 'h'.

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

Add '9' to each side of the equation.
-9 + 9 + 4h = 19 + 9

Combine like terms: -9 + 9 = 0
0 + 4h = 19 + 9
4h = 19 + 9

Combine like terms: 19 + 9 = 28
4h = 28

Divide each side by '4'.
h = 7

Simplifying
h = 7