(5x+23)+(17x-41)=180

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Solution for (5x+23)+(17x-41)=180 equation:


Simplifying
(5x + 23) + (17x + -41) = 180

Reorder the terms:
(23 + 5x) + (17x + -41) = 180

Remove parenthesis around (23 + 5x)
23 + 5x + (17x + -41) = 180

Reorder the terms:
23 + 5x + (-41 + 17x) = 180

Remove parenthesis around (-41 + 17x)
23 + 5x + -41 + 17x = 180

Reorder the terms:
23 + -41 + 5x + 17x = 180

Combine like terms: 23 + -41 = -18
-18 + 5x + 17x = 180

Combine like terms: 5x + 17x = 22x
-18 + 22x = 180

Solving
-18 + 22x = 180

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 22x = 180 + 18

Combine like terms: -18 + 18 = 0
0 + 22x = 180 + 18
22x = 180 + 18

Combine like terms: 180 + 18 = 198
22x = 198

Divide each side by '22'.
x = 9

Simplifying
x = 9

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