(2x-17)+(x+57)+(x)=180

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Solution for (2x-17)+(x+57)+(x)=180 equation:


Simplifying
(2x + -17) + (x + 57) + (x) = 180

Reorder the terms:
(-17 + 2x) + (x + 57) + (x) = 180

Remove parenthesis around (-17 + 2x)
-17 + 2x + (x + 57) + (x) = 180

Reorder the terms:
-17 + 2x + (57 + x) + (x) = 180

Remove parenthesis around (57 + x)
-17 + 2x + 57 + x + (x) = 180
-17 + 2x + 57 + x + x = 180

Reorder the terms:
-17 + 57 + 2x + x + x = 180

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

Combine like terms: 2x + x = 3x
40 + 3x + x = 180

Combine like terms: 3x + x = 4x
40 + 4x = 180

Solving
40 + 4x = 180

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 4x = 180 + -40

Combine like terms: 40 + -40 = 0
0 + 4x = 180 + -40
4x = 180 + -40

Combine like terms: 180 + -40 = 140
4x = 140

Divide each side by '4'.
x = 35

Simplifying
x = 35

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