2(h+3)=0.16(12h+36)

Solution for 2(h+3)=0.16(12h+36) equation:

Simplifying
2(h + 3) = 0.16(12h + 36)

Reorder the terms:
2(3 + h) = 0.16(12h + 36)
(3 * 2 + h * 2) = 0.16(12h + 36)
(6 + 2h) = 0.16(12h + 36)

Reorder the terms:
6 + 2h = 0.16(36 + 12h)
6 + 2h = (36 * 0.16 + 12h * 0.16)
6 + 2h = (5.76 + 1.92h)

Solving
6 + 2h = 5.76 + 1.92h

Solving for variable 'h'.

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

Add '-1.92h' to each side of the equation.
6 + 2h + -1.92h = 5.76 + 1.92h + -1.92h

Combine like terms: 2h + -1.92h = 0.08h
6 + 0.08h = 5.76 + 1.92h + -1.92h

Combine like terms: 1.92h + -1.92h = 0.00
6 + 0.08h = 5.76 + 0.00
6 + 0.08h = 5.76

Add '-6' to each side of the equation.
6 + -6 + 0.08h = 5.76 + -6

Combine like terms: 6 + -6 = 0
0 + 0.08h = 5.76 + -6
0.08h = 5.76 + -6

Combine like terms: 5.76 + -6 = -0.24
0.08h = -0.24

Divide each side by '0.08'.
h = -3

Simplifying
h = -3