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 = -23
1h = -23

Divide each side by '1'.
h = -23

Simplifying
h = -23

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