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

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


Simplifying
5(3 + h) = 4(h + 2)
(3 * 5 + h * 5) = 4(h + 2)
(15 + 5h) = 4(h + 2)

Reorder the terms:
15 + 5h = 4(2 + h)
15 + 5h = (2 * 4 + h * 4)
15 + 5h = (8 + 4h)

Solving
15 + 5h = 8 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
15 + 5h + -4h = 8 + 4h + -4h

Combine like terms: 5h + -4h = 1h
15 + 1h = 8 + 4h + -4h

Combine like terms: 4h + -4h = 0
15 + 1h = 8 + 0
15 + 1h = 8

Add '-15' to each side of the equation.
15 + -15 + 1h = 8 + -15

Combine like terms: 15 + -15 = 0
0 + 1h = 8 + -15
1h = 8 + -15

Combine like terms: 8 + -15 = -7
1h = -7

Divide each side by '1'.
h = -7

Simplifying
h = -7

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