5(h+2)=13+4(2h-1)

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Solution for 5(h+2)=13+4(2h-1) equation:


Simplifying
5(h + 2) = 13 + 4(2h + -1)

Reorder the terms:
5(2 + h) = 13 + 4(2h + -1)
(2 * 5 + h * 5) = 13 + 4(2h + -1)
(10 + 5h) = 13 + 4(2h + -1)

Reorder the terms:
10 + 5h = 13 + 4(-1 + 2h)
10 + 5h = 13 + (-1 * 4 + 2h * 4)
10 + 5h = 13 + (-4 + 8h)

Combine like terms: 13 + -4 = 9
10 + 5h = 9 + 8h

Solving
10 + 5h = 9 + 8h

Solving for variable 'h'.

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

Add '-8h' to each side of the equation.
10 + 5h + -8h = 9 + 8h + -8h

Combine like terms: 5h + -8h = -3h
10 + -3h = 9 + 8h + -8h

Combine like terms: 8h + -8h = 0
10 + -3h = 9 + 0
10 + -3h = 9

Add '-10' to each side of the equation.
10 + -10 + -3h = 9 + -10

Combine like terms: 10 + -10 = 0
0 + -3h = 9 + -10
-3h = 9 + -10

Combine like terms: 9 + -10 = -1
-3h = -1

Divide each side by '-3'.
h = 0.3333333333

Simplifying
h = 0.3333333333

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