(5x+17)+(13x-17)=180

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Solution for (5x+17)+(13x-17)=180 equation: 


Simplifying
(5x + 17) + (13x + -17) = 180

Reorder the terms:
(17 + 5x) + (13x + -17) = 180

Remove parenthesis around (17 + 5x)
17 + 5x + (13x + -17) = 180

Reorder the terms:
17 + 5x + (-17 + 13x) = 180

Remove parenthesis around (-17 + 13x)
17 + 5x + -17 + 13x = 180

Reorder the terms:
17 + -17 + 5x + 13x = 180

Combine like terms: 17 + -17 = 0
0 + 5x + 13x = 180
5x + 13x = 180

Combine like terms: 5x + 13x = 18x
18x = 180

Solving
18x = 180

Solving for variable 'x'.

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

Divide each side by '18'.
x = 10

Simplifying
x = 10

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