(3x-17)+(2x-5)=180

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Solution for (3x-17)+(2x-5)=180 equation:


Simplifying
(3x + -17) + (2x + -5) = 180

Reorder the terms:
(-17 + 3x) + (2x + -5) = 180

Remove parenthesis around (-17 + 3x)
-17 + 3x + (2x + -5) = 180

Reorder the terms:
-17 + 3x + (-5 + 2x) = 180

Remove parenthesis around (-5 + 2x)
-17 + 3x + -5 + 2x = 180

Reorder the terms:
-17 + -5 + 3x + 2x = 180

Combine like terms: -17 + -5 = -22
-22 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
-22 + 5x = 180

Solving
-22 + 5x = 180

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 5x = 180 + 22

Combine like terms: -22 + 22 = 0
0 + 5x = 180 + 22
5x = 180 + 22

Combine like terms: 180 + 22 = 202
5x = 202

Divide each side by '5'.
x = 40.4

Simplifying
x = 40.4

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