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

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

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

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

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

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

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

Solving
2 + 1h = 6 + 2h

Solving for variable 'h'.

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

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

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

Combine like terms: 2h + -2h = 0
2 + -1h = 6 + 0
2 + -1h = 6

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

Combine like terms: 2 + -2 = 0
0 + -1h = 6 + -2
-1h = 6 + -2

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

Divide each side by '-1'.
h = -4

Simplifying
h = -4