$|2x-1|<3x+5$
⇔\(\left[ \begin{array}{l}2x-1<3x+5\\2x-1<-3x-5\end{array} \right.\)
⇔ \(\left[ \begin{array}{l}2x-3x>5+1\\2x+3x<-5+1\end{array} \right.\)
⇔ \(\left[ \begin{array}{l}-x>6\\5x<-4\end{array} \right.\)
⇔\(\left[ \begin{array}{l}x<-6\\x<-4/5\end{array} \right.\)