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

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

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

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

Remove parenthesis around (-1 + h)
5 + h + -1 + h = 3 + 2h + (h + -3)

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

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

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

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

Remove parenthesis around (-3 + h)
4 + 2h = 3 + 2h + -3 + h

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

Combine like terms: 3 + -3 = 0
4 + 2h = 0 + 2h + h
4 + 2h = 2h + h

Combine like terms: 2h + h = 3h
4 + 2h = 3h

Solving
4 + 2h = 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.
4 + 2h + -3h = 3h + -3h

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

Combine like terms: 3h + -3h = 0
4 + -1h = 0

Add '-4' to each side of the equation.
4 + -4 + -1h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1h = 0 + -4
-1h = 0 + -4

Combine like terms: 0 + -4 = -4
-1h = -4

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

Simplifying
h = 4