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A set of periodic mathematics
(x-4)/5 is an integer.

(X+4)/6 is an integer.

That is, (X-4)/5+(X+4)/6 is still an integer.

6× (x-4)+5× (x+4) = an integer multiple of 30.

11x-4 = an integer multiple of 30

11x = an integer multiple of 30+4.

X is 14.