<=> x + x/5 = 5 - 9/2
<=> 6/5x = 1/2
<=> x = 5/12
\(x+\frac{9}{2}=5-\frac{x}{5}\)
\(x+\frac{x}{5}=5-\frac{9}{2}\)
\(x\left(1+\frac{1}{5}\right)=\frac{10}{2}-\frac{9}{2}\)
\(x\cdot\left(\frac{5}{5}+\frac{1}{5}\right)=\frac{1}{2}\)
\(x\cdot\frac{6}{5}=\frac{1}{2}\)
\(x=\frac{1}{2}:\frac{6}{5}\)
\(x=\frac{5}{12}\)
\(x+\frac{9}{2}=5-\frac{x}{5}\)
\(x=5-\frac{9}{2}-\frac{x}{5}\)
\(x=\frac{1}{2}-\frac{x}{5}\)
\(\frac{1}{2}=x-\frac{x}{5}=\frac{4x}{5}\)
\(\frac{5}{10}=\frac{8x}{10}\)
\(=>x=\frac{5}{8}\)