I'm looking for a solving procedure for this type of exercises.
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> 
> If $[x]$ represents the floor of $x$, solve the equation:
> 
> 
> $$\left[\frac{6x+5}8\right]=\frac{15x-7}5$$
> 
> 
> Choose the correct answer:
> 
> 
> a) {$\frac{4}5$}
> 
> 
> b) {$\frac{3}4$}
> 
> 
> c) {$\frac{7}{15}$,$\frac{4}5$} 
> 
> 
> d) {$\frac{6}{15}$} 
> 
> 
> e) {$\frac{1}{2}$,$\frac{3}4$} 
> 
> 
> f) {$\frac{1}{2}$,$\frac{4}5$} 
> 
> 
> 

Can someone please explain how I can solve this equation? Thank you very much!

ps. I asked a similar question, unfortunately, the same method doesn't seem to work.