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

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


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

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

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

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

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

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

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

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

Combine like terms: -17 + -5 = -22
-22 + 40 + 3x + 2x + x = 180

Combine like terms: -22 + 40 = 18
18 + 3x + 2x + x = 180

Combine like terms: 3x + 2x = 5x
18 + 5x + x = 180

Combine like terms: 5x + x = 6x
18 + 6x = 180

Solving
18 + 6x = 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 + 6x = 180 + -18

Combine like terms: 18 + -18 = 0
0 + 6x = 180 + -18
6x = 180 + -18

Combine like terms: 180 + -18 = 162
6x = 162

Divide each side by '6'.
x = 27

Simplifying
x = 27

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