\(\frac{x-1}{3}+\frac{x-1}{5}+\frac{x-1}{7}+....+\frac{x-1}{99}=0\)
\(\left(x-1\right).\left(\frac{1}{3}+\frac{1}{5}+\frac{1}{7}+.....+\frac{1}{99}\right)=0\)
Vì \(\left(\frac{1}{3}+\frac{1}{5}+\frac{1}{7}+.....+\frac{1}{99}\right)>0\)
\(\Rightarrow x-1=0\)
=> x = 1