4(h+2)-(h-9)=-2(h-1)

Solution for 4(h+2)-(h-9)=-2(h-1) equation:

Simplifying
4(h + 2) + -1(h + -9) = -2(h + -1)

Reorder the terms:
4(2 + h) + -1(h + -9) = -2(h + -1)
(2 * 4 + h * 4) + -1(h + -9) = -2(h + -1)
(8 + 4h) + -1(h + -9) = -2(h + -1)

Reorder the terms:
8 + 4h + -1(-9 + h) = -2(h + -1)
8 + 4h + (-9 * -1 + h * -1) = -2(h + -1)
8 + 4h + (9 + -1h) = -2(h + -1)

Reorder the terms:
8 + 9 + 4h + -1h = -2(h + -1)

Combine like terms: 8 + 9 = 17
17 + 4h + -1h = -2(h + -1)

Combine like terms: 4h + -1h = 3h
17 + 3h = -2(h + -1)

Reorder the terms:
17 + 3h = -2(-1 + h)
17 + 3h = (-1 * -2 + h * -2)
17 + 3h = (2 + -2h)

Solving
17 + 3h = 2 + -2h

Solving for variable 'h'.

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

Add '2h' to each side of the equation.
17 + 3h + 2h = 2 + -2h + 2h

Combine like terms: 3h + 2h = 5h
17 + 5h = 2 + -2h + 2h

Combine like terms: -2h + 2h = 0
17 + 5h = 2 + 0
17 + 5h = 2

Add '-17' to each side of the equation.
17 + -17 + 5h = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 5h = 2 + -17
5h = 2 + -17

Combine like terms: 2 + -17 = -15
5h = -15

Divide each side by '5'.
h = -3

Simplifying
h = -3