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 + -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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