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

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


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

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

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

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

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

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

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

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

Combine like terms: -17 + 35 = 18
360 = 18 + 42 + x + x + x + x

Combine like terms: 18 + 42 = 60
360 = 60 + x + x + x + x

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

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

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

Solving
360 = 60 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
360 + -4x = 60 + 4x + -4x

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

Add '-360' to each side of the equation.
360 + -360 + -4x = 60 + -360

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

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

Divide each side by '-4'.
x = 75

Simplifying
x = 75

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