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

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


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

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

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

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

Solving
15 + 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.
15 + 12h + -15h = 8 + 15h + -15h

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

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

Add '-15' to each side of the equation.
15 + -15 + -3h = 8 + -15

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

Combine like terms: 8 + -15 = -7
-3h = -7

Divide each side by '-3'.
h = 2.333333333

Simplifying
h = 2.333333333

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