Question
Solve $5x ≡ 4$ (mod $6$)

Answer

$5x ≡ 4$ (mod $6$)
$5x – 4 = 6M$ for some integer n.
$5x = 6n + 4$
$x=\frac{6 n+4}{5} \text { where } n=1,6,11, \ldots . .$
$\therefore x=2,8,14, \ldots$

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