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 = 11
11 + 6h + -2h = 21

Combine like terms: 6h + -2h = 4h
11 + 4h = 21

Solving
11 + 4h = 21

Solving for variable 'h'.

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

Add '-11' to each side of the equation.
11 + -11 + 4h = 21 + -11

Combine like terms: 11 + -11 = 0
0 + 4h = 21 + -11
4h = 21 + -11

Combine like terms: 21 + -11 = 10
4h = 10

Divide each side by '4'.
h = 2.5

Simplifying
h = 2.5