5(h+1)-3(h-2)=17

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Solution for 5(h+1)-3(h-2)=17 equation:


Simplifying
5(h + 1) + -3(h + -2) = 17

Reorder the terms:
5(1 + h) + -3(h + -2) = 17
(1 * 5 + h * 5) + -3(h + -2) = 17
(5 + 5h) + -3(h + -2) = 17

Reorder the terms:
5 + 5h + -3(-2 + h) = 17
5 + 5h + (-2 * -3 + h * -3) = 17
5 + 5h + (6 + -3h) = 17

Reorder the terms:
5 + 6 + 5h + -3h = 17

Combine like terms: 5 + 6 = 11
11 + 5h + -3h = 17

Combine like terms: 5h + -3h = 2h
11 + 2h = 17

Solving
11 + 2h = 17

Solving for variable 'h'.

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

Add '-11' to each side of the equation.
11 + -11 + 2h = 17 + -11

Combine like terms: 11 + -11 = 0
0 + 2h = 17 + -11
2h = 17 + -11

Combine like terms: 17 + -11 = 6
2h = 6

Divide each side by '2'.
h = 3

Simplifying
h = 3

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