3(6-(h+2))-6=4(-h+7)

Solution for 3(6-(h+2))-6=4(-h+7) equation:

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

Reorder the terms:
3(6 + -1(2 + h)) + -6 = 4(-1h + 7)
3(6 + (2 * -1 + h * -1)) + -6 = 4(-1h + 7)
3(6 + (-2 + -1h)) + -6 = 4(-1h + 7)

Combine like terms: 6 + -2 = 4
3(4 + -1h) + -6 = 4(-1h + 7)
(4 * 3 + -1h * 3) + -6 = 4(-1h + 7)
(12 + -3h) + -6 = 4(-1h + 7)

Reorder the terms:
12 + -6 + -3h = 4(-1h + 7)

Combine like terms: 12 + -6 = 6
6 + -3h = 4(-1h + 7)

Reorder the terms:
6 + -3h = 4(7 + -1h)
6 + -3h = (7 * 4 + -1h * 4)
6 + -3h = (28 + -4h)

Solving
6 + -3h = 28 + -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 + -3h + 4h = 28 + -4h + 4h

Combine like terms: -3h + 4h = 1h
6 + 1h = 28 + -4h + 4h

Combine like terms: -4h + 4h = 0
6 + 1h = 28 + 0
6 + 1h = 28

Add '-6' to each side of the equation.
6 + -6 + 1h = 28 + -6

Combine like terms: 6 + -6 = 0
0 + 1h = 28 + -6
1h = 28 + -6

Combine like terms: 28 + -6 = 22
1h = 22

Divide each side by '1'.
h = 22

Simplifying
h = 22