How is $a \equiv b \pmod m $

Question

Lets say $a = 14, b = 20, m = 6$

$a \equiv b \pmod m $

$ 14 \equiv 20 \pmod 6$

$14 \equiv 2 $ is not true?

Because $20 \pmod 6 = 2$?

What am I doing wrong?

Answer 1

$14 \equiv 2 \pmod 6$ is true. $14-2=12$ is divisible by $6$. Why do you think it is not true?

Answer 2

$14$ and $20$ differ by a multiple of $6$. So do $14$ and $2$. All three are congruent modulo $6$.