(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 = 23
23 + 5 + 3x + x + 2x = 180

Combine like terms: 23 + 5 = 28
28 + 3x + x + 2x = 180

Combine like terms: 3x + x = 4x
28 + 4x + 2x = 180

Combine like terms: 4x + 2x = 6x
28 + 6x = 180

Solving
28 + 6x = 180

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 6x = 180 + -28

Combine like terms: 28 + -28 = 0
0 + 6x = 180 + -28
6x = 180 + -28

Combine like terms: 180 + -28 = 152
6x = 152

Divide each side by '6'.
x = 25.33333333

Simplifying
x = 25.33333333

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