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

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

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

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

Reorder the terms:
6 + -2h = -1h + 3(6 + h)
6 + -2h = -1h + (6 * 3 + h * 3)
6 + -2h = -1h + (18 + 3h)

Reorder the terms:
6 + -2h = 18 + -1h + 3h

Combine like terms: -1h + 3h = 2h
6 + -2h = 18 + 2h

Solving
6 + -2h = 18 + 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.
6 + -2h + -2h = 18 + 2h + -2h

Combine like terms: -2h + -2h = -4h
6 + -4h = 18 + 2h + -2h

Combine like terms: 2h + -2h = 0
6 + -4h = 18 + 0
6 + -4h = 18

Add '-6' to each side of the equation.
6 + -6 + -4h = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -4h = 18 + -6
-4h = 18 + -6

Combine like terms: 18 + -6 = 12
-4h = 12

Divide each side by '-4'.
h = -3

Simplifying
h = -3