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

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


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

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

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

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

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

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

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

Combine like terms: 17x + 5x = 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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