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x=-2016 i.e x<0

|||x|−x|−|x||−x (Since, x<0, therefore |x|=-(x))
||-x−x|+x|−x
||-2x|+x|−x (Since, x<0, therefore value inside |-2x| will be positive, so we will keep it as it is)
|-2x+x|-x
|-x|-x (Again, |-x|>0, so we will keep it as it is)
-x-x
-2x = -2*-2016 = 4032 (D)
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↧↧↧ Detailed Video Solution to the Problem ↧↧↧


\(|||x|-x|-|x|| - x\) where x = -2016

=> \(|||(-2016)|-(-2016)|-|-2016|| - (-2016)\)

We know that -2016| = 2016
=> \(||2016 + 2016| - 2016| + 2016\)
=> \(|2 * 2016 - 2016| + 2016\)
=> | 2016| + 2016
=> 2016 + 2016
=> 4032

So, Answer will be D
Hope it helps!

Watch the following video to MASTER Absolute Values

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