If the number x4584 is divisible by 11, what is the value of x?

1. Divisibility by 11: difference of sums of alternate digits is a multiple of 11. 2. For x4584: (x + 5 + 4) − (4 + 8) = (x + 9) − 12 = x − 3. 3. x − 3 = 0 gives x = 3. _Source: RRB Group D CEN-02/2018 PYQ, Q.38._