2(h-3)+3h=4(h-5)

Solution for 2(h-3)+3h=4(h-5) equation:

Simplifying
2(h + -3) + 3h = 4(h + -5)

Reorder the terms:
2(-3 + h) + 3h = 4(h + -5)
(-3 * 2 + h * 2) + 3h = 4(h + -5)
(-6 + 2h) + 3h = 4(h + -5)

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

Reorder the terms:
-6 + 5h = 4(-5 + h)
-6 + 5h = (-5 * 4 + h * 4)
-6 + 5h = (-20 + 4h)

Solving
-6 + 5h = -20 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
-6 + 5h + -4h = -20 + 4h + -4h

Combine like terms: 5h + -4h = 1h
-6 + 1h = -20 + 4h + -4h

Combine like terms: 4h + -4h = 0
-6 + 1h = -20 + 0
-6 + 1h = -20

Add '6' to each side of the equation.
-6 + 6 + 1h = -20 + 6

Combine like terms: -6 + 6 = 0
0 + 1h = -20 + 6
1h = -20 + 6

Combine like terms: -20 + 6 = -14
1h = -14

Divide each side by '1'.
h = -14

Simplifying
h = -14