Question

Tìm x:

\(\frac{2-x}{2013}-x=\frac{1-x}{2014}-\frac{x}{2015}\)

Answer 1

\(\Leftrightarrow\dfrac{2-x}{2013}+1-x=\dfrac{1-x}{2014}+1-\dfrac{x}{2015}\)

\(\Leftrightarrow\dfrac{2015-x}{2013}-x=\dfrac{2015-x}{2014}-\dfrac{x}{2015}\)

\(\Leftrightarrow\dfrac{2015-x}{2013}=\dfrac{2015-x}{2014}-\dfrac{x}{2015}+x\)

\(\Leftrightarrow\dfrac{2015-x}{2013}=\dfrac{2015-x}{2014}-\dfrac{x}{2015}+1+x-1\)

\(\Leftrightarrow2015-x=0\)

hay x=2015