2016−2x = ∣x−a∣+∣x−b∣+∣x−c∣ has only one solution . a<b<c a,b,c ∈ Z Find the lowest value of c.


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Question Number 153478 by naka3546 last updated on 07/Sep/21

$2016 - 2 x = ∣ x - a ∣ + ∣ x - b ∣ + ∣ x - c ∣ h a s o n l y o n e s o l u t i o n .$ $a < b < c$ $a, b, c \in Z$ $F i n d t h e l o w e s t v a l u e o f c .$
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