[tex] \frac{1}{2x +2 y} - \frac{x}{5x + 5y} \\ \\ \frac{1}{2(x + y)} - \frac{x}{5(x + y)} \\ \\ \frac{5}{10(x + y)} - \frac{2x}{10(x + y)} \\ \\ \frac{5 - 2x}{10(x + y)} \\ \\ \boxed{\boxed{\boxed{ \frac{5 - 2x}{10x + 10y} }}} \\ [/tex]