.5(2h+4)=2.3(h-12)

Solution for .5(2h+4)=2.3(h-12) equation:

Simplifying
0.5(2h + 4) = 2.3(h + -12)

Reorder the terms:
0.5(4 + 2h) = 2.3(h + -12)
(4 * 0.5 + 2h * 0.5) = 2.3(h + -12)
(2 + 1h) = 2.3(h + -12)

Reorder the terms:
2 + 1h = 2.3(-12 + h)
2 + 1h = (-12 * 2.3 + h * 2.3)
2 + 1h = (-27.6 + 2.3h)

Solving
2 + 1h = -27.6 + 2.3h

Solving for variable 'h'.

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

Add '-2.3h' to each side of the equation.
2 + 1h + -2.3h = -27.6 + 2.3h + -2.3h

Combine like terms: 1h + -2.3h = -1.3h
2 + -1.3h = -27.6 + 2.3h + -2.3h

Combine like terms: 2.3h + -2.3h = 0.0
2 + -1.3h = -27.6 + 0.0
2 + -1.3h = -27.6

Add '-2' to each side of the equation.
2 + -2 + -1.3h = -27.6 + -2

Combine like terms: 2 + -2 = 0
0 + -1.3h = -27.6 + -2
-1.3h = -27.6 + -2

Combine like terms: -27.6 + -2 = -29.6
-1.3h = -29.6

Divide each side by '-1.3'.
h = 22.76923077

Simplifying
h = 22.76923077