5(3h-2)=2(h+8)

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Solution for 5(3h-2)=2(h+8) equation:


Simplifying
5(3h + -2) = 2(h + 8)

Reorder the terms:
5(-2 + 3h) = 2(h + 8)
(-2 * 5 + 3h * 5) = 2(h + 8)
(-10 + 15h) = 2(h + 8)

Reorder the terms:
-10 + 15h = 2(8 + h)
-10 + 15h = (8 * 2 + h * 2)
-10 + 15h = (16 + 2h)

Solving
-10 + 15h = 16 + 2h

Solving for variable 'h'.

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

Add '-2h' to each side of the equation.
-10 + 15h + -2h = 16 + 2h + -2h

Combine like terms: 15h + -2h = 13h
-10 + 13h = 16 + 2h + -2h

Combine like terms: 2h + -2h = 0
-10 + 13h = 16 + 0
-10 + 13h = 16

Add '10' to each side of the equation.
-10 + 10 + 13h = 16 + 10

Combine like terms: -10 + 10 = 0
0 + 13h = 16 + 10
13h = 16 + 10

Combine like terms: 16 + 10 = 26
13h = 26

Divide each side by '13'.
h = 2

Simplifying
h = 2

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