3(2h+1)-2(h+4)=21

Solution for 3(2h+1)-2(h+4)=21 equation:

Simplifying
3(2h + 1) + -2(h + 4) = 21

Reorder the terms:
3(1 + 2h) + -2(h + 4) = 21
(1 * 3 + 2h * 3) + -2(h + 4) = 21
(3 + 6h) + -2(h + 4) = 21

Reorder the terms:
3 + 6h + -2(4 + h) = 21
3 + 6h + (4 * -2 + h * -2) = 21
3 + 6h + (-8 + -2h) = 21

Reorder the terms:
3 + -8 + 6h + -2h = 21

Combine like terms: 3 + -8 = -5
-5 + 6h + -2h = 21

Combine like terms: 6h + -2h = 4h
-5 + 4h = 21

Solving
-5 + 4h = 21

Solving for variable 'h'.

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

Add '5' to each side of the equation.
-5 + 5 + 4h = 21 + 5

Combine like terms: -5 + 5 = 0
0 + 4h = 21 + 5
4h = 21 + 5

Combine like terms: 21 + 5 = 26
4h = 26

Divide each side by '4'.
h = 6.5

Simplifying
h = 6.5