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4x mod 5 = 3x-1 mod 5

Should I do:

5|(4x-(3x-1))

or

5|((3x-1)-4x)?

according to the theorem, it should be: if a mod 5 = b mod 5

then 5|(a-b), but shouldn't we take the greatest number?

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    **Hint** $\rm\,\ m\mid k\iff m\mid -k\quad $2012-12-09

2 Answers 2