(13x-10)+(10x+17)=180

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Solution for (13x-10)+(10x+17)=180 equation:


Simplifying
(13x + -10) + (10x + 17) = 180

Reorder the terms:
(-10 + 13x) + (10x + 17) = 180

Remove parenthesis around (-10 + 13x)
-10 + 13x + (10x + 17) = 180

Reorder the terms:
-10 + 13x + (17 + 10x) = 180

Remove parenthesis around (17 + 10x)
-10 + 13x + 17 + 10x = 180

Reorder the terms:
-10 + 17 + 13x + 10x = 180

Combine like terms: -10 + 17 = 7
7 + 13x + 10x = 180

Combine like terms: 13x + 10x = 23x
7 + 23x = 180

Solving
7 + 23x = 180

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 23x = 180 + -7

Combine like terms: 7 + -7 = 0
0 + 23x = 180 + -7
23x = 180 + -7

Combine like terms: 180 + -7 = 173
23x = 173

Divide each side by '23'.
x = 7.52173913

Simplifying
x = 7.52173913

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