(3x-17)+(x-40)+(2x-5)=180

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Solution for (3x-17)+(x-40)+(2x-5)=180 equation:


Simplifying
(3x + -17) + (x + -40) + (2x + -5) = 180

Reorder the terms:
(-17 + 3x) + (x + -40) + (2x + -5) = 180

Remove parenthesis around (-17 + 3x)
-17 + 3x + (x + -40) + (2x + -5) = 180

Reorder the terms:
-17 + 3x + (-40 + x) + (2x + -5) = 180

Remove parenthesis around (-40 + x)
-17 + 3x + -40 + x + (2x + -5) = 180

Reorder the terms:
-17 + 3x + -40 + x + (-5 + 2x) = 180

Remove parenthesis around (-5 + 2x)
-17 + 3x + -40 + x + -5 + 2x = 180

Reorder the terms:
-17 + -40 + -5 + 3x + x + 2x = 180

Combine like terms: -17 + -40 = -57
-57 + -5 + 3x + x + 2x = 180

Combine like terms: -57 + -5 = -62
-62 + 3x + x + 2x = 180

Combine like terms: 3x + x = 4x
-62 + 4x + 2x = 180

Combine like terms: 4x + 2x = 6x
-62 + 6x = 180

Solving
-62 + 6x = 180

Solving for variable 'x'.

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

Add '62' to each side of the equation.
-62 + 62 + 6x = 180 + 62

Combine like terms: -62 + 62 = 0
0 + 6x = 180 + 62
6x = 180 + 62

Combine like terms: 180 + 62 = 242
6x = 242

Divide each side by '6'.
x = 40.33333333

Simplifying
x = 40.33333333

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