3(4h+5)+2=14+3(5h-2)

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Solution for 3(4h+5)+2=14+3(5h-2) equation: 


Simplifying
3(4h + 5) + 2 = 14 + 3(5h + -2)

Reorder the terms:
3(5 + 4h) + 2 = 14 + 3(5h + -2)
(5 * 3 + 4h * 3) + 2 = 14 + 3(5h + -2)
(15 + 12h) + 2 = 14 + 3(5h + -2)

Reorder the terms:
15 + 2 + 12h = 14 + 3(5h + -2)

Combine like terms: 15 + 2 = 17
17 + 12h = 14 + 3(5h + -2)

Reorder the terms:
17 + 12h = 14 + 3(-2 + 5h)
17 + 12h = 14 + (-2 * 3 + 5h * 3)
17 + 12h = 14 + (-6 + 15h)

Combine like terms: 14 + -6 = 8
17 + 12h = 8 + 15h

Solving
17 + 12h = 8 + 15h

Solving for variable 'h'.

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

Add '-15h' to each side of the equation.
17 + 12h + -15h = 8 + 15h + -15h

Combine like terms: 12h + -15h = -3h
17 + -3h = 8 + 15h + -15h

Combine like terms: 15h + -15h = 0
17 + -3h = 8 + 0
17 + -3h = 8

Add '-17' to each side of the equation.
17 + -17 + -3h = 8 + -17

Combine like terms: 17 + -17 = 0
0 + -3h = 8 + -17
-3h = 8 + -17

Combine like terms: 8 + -17 = -9
-3h = -9

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

Simplifying
h = 3

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