5(2+h)=3(h+6)

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Solution for 5(2+h)=3(h+6) equation: 


Simplifying
5(2 + h) = 3(h + 6)
(2 * 5 + h * 5) = 3(h + 6)
(10 + 5h) = 3(h + 6)

Reorder the terms:
10 + 5h = 3(6 + h)
10 + 5h = (6 * 3 + h * 3)
10 + 5h = (18 + 3h)

Solving
10 + 5h = 18 + 3h

Solving for variable 'h'.

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

Add '-3h' to each side of the equation.
10 + 5h + -3h = 18 + 3h + -3h

Combine like terms: 5h + -3h = 2h
10 + 2h = 18 + 3h + -3h

Combine like terms: 3h + -3h = 0
10 + 2h = 18 + 0
10 + 2h = 18

Add '-10' to each side of the equation.
10 + -10 + 2h = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 2h = 18 + -10
2h = 18 + -10

Combine like terms: 18 + -10 = 8
2h = 8

Divide each side by '2'.
h = 4

Simplifying
h = 4

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