2(8+h)=5(h+2)

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Solution for 2(8+h)=5(h+2) equation:


Simplifying
2(8 + h) = 5(h + 2)
(8 * 2 + h * 2) = 5(h + 2)
(16 + 2h) = 5(h + 2)

Reorder the terms:
16 + 2h = 5(2 + h)
16 + 2h = (2 * 5 + h * 5)
16 + 2h = (10 + 5h)

Solving
16 + 2h = 10 + 5h

Solving for variable 'h'.

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

Add '-5h' to each side of the equation.
16 + 2h + -5h = 10 + 5h + -5h

Combine like terms: 2h + -5h = -3h
16 + -3h = 10 + 5h + -5h

Combine like terms: 5h + -5h = 0
16 + -3h = 10 + 0
16 + -3h = 10

Add '-16' to each side of the equation.
16 + -16 + -3h = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -3h = 10 + -16
-3h = 10 + -16

Combine like terms: 10 + -16 = -6
-3h = -6

Divide each side by '-3'.
h = 2

Simplifying
h = 2

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