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

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

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

Reorder the terms:
5h + -3(3 + 2h) = 4 + 2(3 + -2h)
5h + (3 * -3 + 2h * -3) = 4 + 2(3 + -2h)
5h + (-9 + -6h) = 4 + 2(3 + -2h)

Reorder the terms:
-9 + 5h + -6h = 4 + 2(3 + -2h)

Combine like terms: 5h + -6h = -1h
-9 + -1h = 4 + 2(3 + -2h)
-9 + -1h = 4 + (3 * 2 + -2h * 2)
-9 + -1h = 4 + (6 + -4h)

Combine like terms: 4 + 6 = 10
-9 + -1h = 10 + -4h

Solving
-9 + -1h = 10 + -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.
-9 + -1h + 4h = 10 + -4h + 4h

Combine like terms: -1h + 4h = 3h
-9 + 3h = 10 + -4h + 4h

Combine like terms: -4h + 4h = 0
-9 + 3h = 10 + 0
-9 + 3h = 10

Add '9' to each side of the equation.
-9 + 9 + 3h = 10 + 9

Combine like terms: -9 + 9 = 0
0 + 3h = 10 + 9
3h = 10 + 9

Combine like terms: 10 + 9 = 19
3h = 19

Divide each side by '3'.
h = 6.333333333

Simplifying
h = 6.333333333