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

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

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

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

Combine like terms: -2h + 5h = 3h
6 + 3h = 5(2 + h)
6 + 3h = (2 * 5 + h * 5)
6 + 3h = (10 + 5h)

Solving
6 + 3h = 10 + 5h

Solving for variable 'h'.

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

Add '-5h' to each side of the equation.
6 + 3h + -5h = 10 + 5h + -5h

Combine like terms: 3h + -5h = -2h
6 + -2h = 10 + 5h + -5h

Combine like terms: 5h + -5h = 0
6 + -2h = 10 + 0
6 + -2h = 10

Add '-6' to each side of the equation.
6 + -6 + -2h = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -2h = 10 + -6
-2h = 10 + -6

Combine like terms: 10 + -6 = 4
-2h = 4

Divide each side by '-2'.
h = -2

Simplifying
h = -2