(x-17)+(x+35)+(x+42)+x=180

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Solution for (x-17)+(x+35)+(x+42)+x=180 equation:


Simplifying
(x + -17) + (x + 35) + (x + 42) + x = 180

Reorder the terms:
(-17 + x) + (x + 35) + (x + 42) + x = 180

Remove parenthesis around (-17 + x)
-17 + x + (x + 35) + (x + 42) + x = 180

Reorder the terms:
-17 + x + (35 + x) + (x + 42) + x = 180

Remove parenthesis around (35 + x)
-17 + x + 35 + x + (x + 42) + x = 180

Reorder the terms:
-17 + x + 35 + x + (42 + x) + x = 180

Remove parenthesis around (42 + x)
-17 + x + 35 + x + 42 + x + x = 180

Reorder the terms:
-17 + 35 + 42 + x + x + x + x = 180

Combine like terms: -17 + 35 = 18
18 + 42 + x + x + x + x = 180

Combine like terms: 18 + 42 = 60
60 + x + x + x + x = 180

Combine like terms: x + x = 2x
60 + 2x + x + x = 180

Combine like terms: 2x + x = 3x
60 + 3x + x = 180

Combine like terms: 3x + x = 4x
60 + 4x = 180

Solving
60 + 4x = 180

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 4x = 180 + -60

Combine like terms: 60 + -60 = 0
0 + 4x = 180 + -60
4x = 180 + -60

Combine like terms: 180 + -60 = 120
4x = 120

Divide each side by '4'.
x = 30

Simplifying
x = 30

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