# This problem also can't make up its mind

Algebra Level 5

$0 = |x + |x +1 - |x+2 + |x+3 - |x+4 + |x+5 - \cdots - |x+2016|||||| |$

Find the number of real solutions of $$x$$ that satisfy the above equation.

 Notation: $$| \cdot |$$ denotes the absolute value function.

×