2h-(6h-5)=-3(h+1)

Solution for 2h-(6h-5)=-3(h+1) equation:

Simplifying
2h + -1(6h + -5) = -3(h + 1)

Reorder the terms:
2h + -1(-5 + 6h) = -3(h + 1)
2h + (-5 * -1 + 6h * -1) = -3(h + 1)
2h + (5 + -6h) = -3(h + 1)

Reorder the terms:
5 + 2h + -6h = -3(h + 1)

Combine like terms: 2h + -6h = -4h
5 + -4h = -3(h + 1)

Reorder the terms:
5 + -4h = -3(1 + h)
5 + -4h = (1 * -3 + h * -3)
5 + -4h = (-3 + -3h)

Solving
5 + -4h = -3 + -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.
5 + -4h + 3h = -3 + -3h + 3h

Combine like terms: -4h + 3h = -1h
5 + -1h = -3 + -3h + 3h

Combine like terms: -3h + 3h = 0
5 + -1h = -3 + 0
5 + -1h = -3

Add '-5' to each side of the equation.
5 + -5 + -1h = -3 + -5

Combine like terms: 5 + -5 = 0
0 + -1h = -3 + -5
-1h = -3 + -5

Combine like terms: -3 + -5 = -8
-1h = -8

Divide each side by '-1'.
h = 8

Simplifying
h = 8