(9x-13)+(17x+37)=180

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Solution for (9x-13)+(17x+37)=180 equation:


Simplifying
(9x + -13) + (17x + 37) = 180

Reorder the terms:
(-13 + 9x) + (17x + 37) = 180

Remove parenthesis around (-13 + 9x)
-13 + 9x + (17x + 37) = 180

Reorder the terms:
-13 + 9x + (37 + 17x) = 180

Remove parenthesis around (37 + 17x)
-13 + 9x + 37 + 17x = 180

Reorder the terms:
-13 + 37 + 9x + 17x = 180

Combine like terms: -13 + 37 = 24
24 + 9x + 17x = 180

Combine like terms: 9x + 17x = 26x
24 + 26x = 180

Solving
24 + 26x = 180

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 26x = 180 + -24

Combine like terms: 24 + -24 = 0
0 + 26x = 180 + -24
26x = 180 + -24

Combine like terms: 180 + -24 = 156
26x = 156

Divide each side by '26'.
x = 6

Simplifying
x = 6

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