5(h+3)=3(h+10)-11

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Solution for 5(h+3)=3(h+10)-11 equation:


Simplifying
5(h + 3) = 3(h + 10) + -11

Reorder the terms:
5(3 + h) = 3(h + 10) + -11
(3 * 5 + h * 5) = 3(h + 10) + -11
(15 + 5h) = 3(h + 10) + -11

Reorder the terms:
15 + 5h = 3(10 + h) + -11
15 + 5h = (10 * 3 + h * 3) + -11
15 + 5h = (30 + 3h) + -11

Reorder the terms:
15 + 5h = 30 + -11 + 3h

Combine like terms: 30 + -11 = 19
15 + 5h = 19 + 3h

Solving
15 + 5h = 19 + 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.
15 + 5h + -3h = 19 + 3h + -3h

Combine like terms: 5h + -3h = 2h
15 + 2h = 19 + 3h + -3h

Combine like terms: 3h + -3h = 0
15 + 2h = 19 + 0
15 + 2h = 19

Add '-15' to each side of the equation.
15 + -15 + 2h = 19 + -15

Combine like terms: 15 + -15 = 0
0 + 2h = 19 + -15
2h = 19 + -15

Combine like terms: 19 + -15 = 4
2h = 4

Divide each side by '2'.
h = 2

Simplifying
h = 2

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