360=(x-35)+(x-46)+x+.5

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Solution for 360=(x-35)+(x-46)+x+.5 equation:


Simplifying
360 = (x + -35) + (x + -46) + x + 0.5

Reorder the terms:
360 = (-35 + x) + (x + -46) + x + 0.5

Remove parenthesis around (-35 + x)
360 = -35 + x + (x + -46) + x + 0.5

Reorder the terms:
360 = -35 + x + (-46 + x) + x + 0.5

Remove parenthesis around (-46 + x)
360 = -35 + x + -46 + x + x + 0.5

Reorder the terms:
360 = -35 + -46 + 0.5 + x + x + x

Combine like terms: -35 + -46 = -81
360 = -81 + 0.5 + x + x + x

Combine like terms: -81 + 0.5 = -80.5
360 = -80.5 + x + x + x

Combine like terms: x + x = 2x
360 = -80.5 + 2x + x

Combine like terms: 2x + x = 3x
360 = -80.5 + 3x

Solving
360 = -80.5 + 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 = -80.5 + 3x + -3x

Combine like terms: 3x + -3x = 0
360 + -3x = -80.5 + 0
360 + -3x = -80.5

Add '-360' to each side of the equation.
360 + -360 + -3x = -80.5 + -360

Combine like terms: 360 + -360 = 0
0 + -3x = -80.5 + -360
-3x = -80.5 + -360

Combine like terms: -80.5 + -360 = -440.5
-3x = -440.5

Divide each side by '-3'.
x = 146.8333333

Simplifying
x = 146.8333333

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