3(2h+5)=5(17+4h)

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Solution for 3(2h+5)=5(17+4h) equation:


Simplifying
3(2h + 5) = 5(17 + 4h)

Reorder the terms:
3(5 + 2h) = 5(17 + 4h)
(5 * 3 + 2h * 3) = 5(17 + 4h)
(15 + 6h) = 5(17 + 4h)
15 + 6h = (17 * 5 + 4h * 5)
15 + 6h = (85 + 20h)

Solving
15 + 6h = 85 + 20h

Solving for variable 'h'.

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

Add '-20h' to each side of the equation.
15 + 6h + -20h = 85 + 20h + -20h

Combine like terms: 6h + -20h = -14h
15 + -14h = 85 + 20h + -20h

Combine like terms: 20h + -20h = 0
15 + -14h = 85 + 0
15 + -14h = 85

Add '-15' to each side of the equation.
15 + -15 + -14h = 85 + -15

Combine like terms: 15 + -15 = 0
0 + -14h = 85 + -15
-14h = 85 + -15

Combine like terms: 85 + -15 = 70
-14h = 70

Divide each side by '-14'.
h = -5

Simplifying
h = -5

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