6(h+.5)-1=4h-8

Solution for 6(h+.5)-1=4h-8 equation:

Simplifying
6(h + 0.5) + -1 = 4h + -8

Reorder the terms:
6(0.5 + h) + -1 = 4h + -8
(0.5 * 6 + h * 6) + -1 = 4h + -8
(3 + 6h) + -1 = 4h + -8

Reorder the terms:
3 + -1 + 6h = 4h + -8

Combine like terms: 3 + -1 = 2
2 + 6h = 4h + -8

Reorder the terms:
2 + 6h = -8 + 4h

Solving
2 + 6h = -8 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
2 + 6h + -4h = -8 + 4h + -4h

Combine like terms: 6h + -4h = 2h
2 + 2h = -8 + 4h + -4h

Combine like terms: 4h + -4h = 0
2 + 2h = -8 + 0
2 + 2h = -8

Add '-2' to each side of the equation.
2 + -2 + 2h = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 2h = -8 + -2
2h = -8 + -2

Combine like terms: -8 + -2 = -10
2h = -10

Divide each side by '2'.
h = -5

Simplifying
h = -5