2(h+2)+7=5(h+1)

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Solution for 2(h+2)+7=5(h+1) equation: 


Simplifying
2(h + 2) + 7 = 5(h + 1)

Reorder the terms:
2(2 + h) + 7 = 5(h + 1)
(2 * 2 + h * 2) + 7 = 5(h + 1)
(4 + 2h) + 7 = 5(h + 1)

Reorder the terms:
4 + 7 + 2h = 5(h + 1)

Combine like terms: 4 + 7 = 11
11 + 2h = 5(h + 1)

Reorder the terms:
11 + 2h = 5(1 + h)
11 + 2h = (1 * 5 + h * 5)
11 + 2h = (5 + 5h)

Solving
11 + 2h = 5 + 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.
11 + 2h + -5h = 5 + 5h + -5h

Combine like terms: 2h + -5h = -3h
11 + -3h = 5 + 5h + -5h

Combine like terms: 5h + -5h = 0
11 + -3h = 5 + 0
11 + -3h = 5

Add '-11' to each side of the equation.
11 + -11 + -3h = 5 + -11

Combine like terms: 11 + -11 = 0
0 + -3h = 5 + -11
-3h = 5 + -11

Combine like terms: 5 + -11 = -6
-3h = -6

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

Simplifying
h = 2

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