(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 = 52
52 + 3x + x + 2x = 180

Combine like terms: 3x + x = 4x
52 + 4x + 2x = 180

Combine like terms: 4x + 2x = 6x
52 + 6x = 180

Solving
52 + 6x = 180

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 6x = 180 + -52

Combine like terms: 52 + -52 = 0
0 + 6x = 180 + -52
6x = 180 + -52

Combine like terms: 180 + -52 = 128
6x = 128

Divide each side by '6'.
x = 21.33333333

Simplifying
x = 21.33333333

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