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

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


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

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

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

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

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

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

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

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

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

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

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

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

Solving
360 = 60 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
360 + -3x = 60 + 3x + -3x

Combine like terms: 3x + -3x = 0
360 + -3x = 60 + 0
360 + -3x = 60

Add '-360' to each side of the equation.
360 + -360 + -3x = 60 + -360

Combine like terms: 360 + -360 = 0
0 + -3x = 60 + -360
-3x = 60 + -360

Combine like terms: 60 + -360 = -300
-3x = -300

Divide each side by '-3'.
x = 100

Simplifying
x = 100

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