-2(h+8)=3(h-2)

Solution for -2(h+8)=3(h-2) equation:

Simplifying
-2(h + 8) = 3(h + -2)

Reorder the terms:
-2(8 + h) = 3(h + -2)
(8 * -2 + h * -2) = 3(h + -2)
(-16 + -2h) = 3(h + -2)

Reorder the terms:
-16 + -2h = 3(-2 + h)
-16 + -2h = (-2 * 3 + h * 3)
-16 + -2h = (-6 + 3h)

Solving
-16 + -2h = -6 + 3h

Solving for variable 'h'.

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

Add '-3h' to each side of the equation.
-16 + -2h + -3h = -6 + 3h + -3h

Combine like terms: -2h + -3h = -5h
-16 + -5h = -6 + 3h + -3h

Combine like terms: 3h + -3h = 0
-16 + -5h = -6 + 0
-16 + -5h = -6

Add '16' to each side of the equation.
-16 + 16 + -5h = -6 + 16

Combine like terms: -16 + 16 = 0
0 + -5h = -6 + 16
-5h = -6 + 16

Combine like terms: -6 + 16 = 10
-5h = 10

Divide each side by '-5'.
h = -2

Simplifying
h = -2