3(h+4)=5(h-6)+32

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Solution for 3(h+4)=5(h-6)+32 equation: 


Simplifying
3(h + 4) = 5(h + -6) + 32

Reorder the terms:
3(4 + h) = 5(h + -6) + 32
(4 * 3 + h * 3) = 5(h + -6) + 32
(12 + 3h) = 5(h + -6) + 32

Reorder the terms:
12 + 3h = 5(-6 + h) + 32
12 + 3h = (-6 * 5 + h * 5) + 32
12 + 3h = (-30 + 5h) + 32

Reorder the terms:
12 + 3h = -30 + 32 + 5h

Combine like terms: -30 + 32 = 2
12 + 3h = 2 + 5h

Solving
12 + 3h = 2 + 5h

Solving for variable 'h'.

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

Add '-5h' to each side of the equation.
12 + 3h + -5h = 2 + 5h + -5h

Combine like terms: 3h + -5h = -2h
12 + -2h = 2 + 5h + -5h

Combine like terms: 5h + -5h = 0
12 + -2h = 2 + 0
12 + -2h = 2

Add '-12' to each side of the equation.
12 + -12 + -2h = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -2h = 2 + -12
-2h = 2 + -12

Combine like terms: 2 + -12 = -10
-2h = -10

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

Simplifying
h = 5

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