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

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

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

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

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

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

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

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

Solving
6 + 2h = 3 + -1h

Solving for variable 'h'.

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

Add 'h' to each side of the equation.
6 + 2h + h = 3 + -1h + h

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

Combine like terms: -1h + h = 0
6 + 3h = 3 + 0
6 + 3h = 3

Add '-6' to each side of the equation.
6 + -6 + 3h = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 3h = 3 + -6
3h = 3 + -6

Combine like terms: 3 + -6 = -3
3h = -3

Divide each side by '3'.
h = -1

Simplifying
h = -1