$19-3.|2x-5|=-2$
⇒ $3.|2x-5|=19-(-2)$
⇒ $3.|2x-5|=21$
⇒ $|2x-5|=7$
⇒ \(\left[ \begin{array}{l}2x-5=7\\2x-5=-7\end{array} \right.\)
⇒ \(\left[ \begin{array}{l}2x=7+5\\2x=-7+5\end{array} \right.\)
⇒ \(\left[ \begin{array}{l}2x=12\\2x=-2\end{array} \right.\)
⇒ \(\left[ \begin{array}{l}x=6\\x=-1\end{array} \right.\)
Vậy $x=-1$ hoặc $x=6$