Question

|2010-x|-2010=-2009

Answer 1

|2010-x|-2010=-2009

|2010-x|=-2009+2010

|2010-x|= 1

2010-x=1

x=2009

Answer 2

( 2010 - x ) - 2010 = -2009

2010 - x = -2009 + 2010

2010 - x  = 1

x = 2010 - 1

x = 2009

Answer 3

\(\left|2010-x\right|-2010=-2009\)

\(\Leftrightarrow\left|2010-x\right|=1\)

\(\Rightarrow\hept{\begin{cases}2010-x=-1\\2010-x=1\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}x=2010-\left(-1\right)\\x=2010-1\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}x=2011\\x=2009\end{cases}}\)