Weighing up the positives and the negatives

\[\underbrace{\pm (x-1) \pm (x-1) \cdots \pm (x-1) \pm (x-1)}_{“\pm (x-1)" \text{ appears 2018 times}} = 2018\]

On the left side of the equation, "\(\pm (x-1)\)" repeats 2018 times.

How many integer solutions of \(x\) are there?

Note: The "\(\pm\)" symbols are independent of one another.

×

Problem Loading...

Note Loading...

Set Loading...