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

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

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

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

Reorder the terms:
2 + 4h = 3(-4 + h)
2 + 4h = (-4 * 3 + h * 3)
2 + 4h = (-12 + 3h)

Solving
2 + 4h = -12 + 3h

Solving for variable 'h'.

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

Add '-3h' to each side of the equation.
2 + 4h + -3h = -12 + 3h + -3h

Combine like terms: 4h + -3h = 1h
2 + 1h = -12 + 3h + -3h

Combine like terms: 3h + -3h = 0
2 + 1h = -12 + 0
2 + 1h = -12

Add '-2' to each side of the equation.
2 + -2 + 1h = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 1h = -12 + -2
1h = -12 + -2

Combine like terms: -12 + -2 = -14
1h = -14

Divide each side by '1'.
h = -14

Simplifying
h = -14