Câu trả lời:
\(\left|2010-x\right|-2010=-2009\)
\(\Leftrightarrow\left|2010-x\right|=1\)
\(\Rightarrow\hept{\begin{cases}2010-x=-1\\2010-x=1\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x=2010-\left(-1\right)\\x=2010-1\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x=2011\\x=2009\end{cases}}\)