Lời giải:
Ta có:
$\frac{2-x}{2001}-1=\frac{1-x}{2002}-\frac{x}{2003}$
Mẫu số chung là:$8024022006$
$\frac{4010006.(2-x)-8024022006-4008003.(1-x)+4006002x}{8024022006}=0$
$4010006.(2-x)-8024022006-4008003.(1-x)+4006002x=0$
$<=>8020012-4010006x-8024022006-4008003+4008003x+4006002x=0$
$<=>4003999x-8020009997=0$
$<=>x=2003$
Vậy $x=2003$