x+(x+42)+(x+35)+(x-17)=360

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Solution for x+(x+42)+(x+35)+(x-17)=360 equation:


Simplifying
x + (x + 42) + (x + 35) + (x + -17) = 360

Reorder the terms:
x + (42 + x) + (x + 35) + (x + -17) = 360

Remove parenthesis around (42 + x)
x + 42 + x + (x + 35) + (x + -17) = 360

Reorder the terms:
x + 42 + x + (35 + x) + (x + -17) = 360

Remove parenthesis around (35 + x)
x + 42 + x + 35 + x + (x + -17) = 360

Reorder the terms:
x + 42 + x + 35 + x + (-17 + x) = 360

Remove parenthesis around (-17 + x)
x + 42 + x + 35 + x + -17 + x = 360

Reorder the terms:
42 + 35 + -17 + x + x + x + x = 360

Combine like terms: 42 + 35 = 77
77 + -17 + x + x + x + x = 360

Combine like terms: 77 + -17 = 60
60 + x + x + x + x = 360

Combine like terms: x + x = 2x
60 + 2x + x + x = 360

Combine like terms: 2x + x = 3x
60 + 3x + x = 360

Combine like terms: 3x + x = 4x
60 + 4x = 360

Solving
60 + 4x = 360

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 = 360 + -60

Combine like terms: 60 + -60 = 0
0 + 4x = 360 + -60
4x = 360 + -60

Combine like terms: 360 + -60 = 300
4x = 300

Divide each side by '4'.
x = 75

Simplifying
x = 75

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