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

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

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

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

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

Solving
-2 + 2h = 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.
-2 + 2h + -3h = 3 + 3h + -3h

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

Combine like terms: 3h + -3h = 0
-2 + -1h = 3 + 0
-2 + -1h = 3

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

Combine like terms: -2 + 2 = 0
0 + -1h = 3 + 2
-1h = 3 + 2

Combine like terms: 3 + 2 = 5
-1h = 5

Divide each side by '-1'.
h = -5

Simplifying
h = -5