5x = 0 (mod 6)
I don't even know where to begin.
Ok, does 0(mod6) = 0mod6?
0/6 always give 0 so is the answer x=0?
I don't have any clue.
5x = 0 (mod 6)
I don't even know where to begin.
Ok, does 0(mod6) = 0mod6?
0/6 always give 0 so is the answer x=0?
I don't have any clue.
Recall that if $a \vert (bc)$ and $(a,b)=1$, then $a \vert c$.
In your case, note that $6 \vert (5x)$ and $(6,5) = 1$. Hence, $6 \vert x$ i.e. $x \equiv 0 \pmod 6$
Hint $\rm\,\ mod\ 6\!:\,\ 6x,5x\equiv 0\:\Rightarrow\:x = 6x\!-\!5x\equiv 0,\:$ and conversely.