\(-x-\frac{9}{2004}=-\frac{1}{2003}\)
\(\Rightarrow-x=\frac{-1}{2003}+\frac{9}{2004}\)
\(\Rightarrow-x=\frac{-1}{2003}+\frac{9}{2004}\)
\(\frac{5}{9}-x=1-2004\)
\(\Rightarrow\frac{5}{9}-x=-2003\)
\(\Rightarrow x=\frac{5}{9}-\left(-2003\right)\)
\(\Rightarrow x=\frac{18032}{9}\)