4h-3(2-h)=2(2h+7)

Solution for 4h-3(2-h)=2(2h+7) equation:

Simplifying
4h + -3(2 + -1h) = 2(2h + 7)
4h + (2 * -3 + -1h * -3) = 2(2h + 7)
4h + (-6 + 3h) = 2(2h + 7)

Reorder the terms:
-6 + 4h + 3h = 2(2h + 7)

Combine like terms: 4h + 3h = 7h
-6 + 7h = 2(2h + 7)

Reorder the terms:
-6 + 7h = 2(7 + 2h)
-6 + 7h = (7 * 2 + 2h * 2)
-6 + 7h = (14 + 4h)

Solving
-6 + 7h = 14 + 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 + 7h + -4h = 14 + 4h + -4h

Combine like terms: 7h + -4h = 3h
-6 + 3h = 14 + 4h + -4h

Combine like terms: 4h + -4h = 0
-6 + 3h = 14 + 0
-6 + 3h = 14

Add '6' to each side of the equation.
-6 + 6 + 3h = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 3h = 14 + 6
3h = 14 + 6

Combine like terms: 14 + 6 = 20
3h = 20

Divide each side by '3'.
h = 6.666666667

Simplifying
h = 6.666666667