given data:
[tex]\frac{3}{\left(x-2\right)}=\frac{5}{\left(x-2\right)}[/tex][tex]\begin{gathered} \frac{3}{x-2}=\frac{5}{x-2} \\ \frac{3}{x-2}\mleft(x-2\mright)=\frac{5}{x-2}\mleft(x-2\mright) \\ 3=5 \end{gathered}[/tex]the sides are not equal ,
thus, there is no solution.