$\dfrac{x}{2} - \dfrac{2}{22} = \dfrac{36}{121} . \dfrac{11}{9}$
$⇔ \dfrac{x}{2} - \dfrac{1}{11} = \dfrac{36.11}{121.9}$
$⇔ \dfrac{x}{2} - \dfrac{1}{11} = \dfrac{4.1}{11.1}$
$⇔ \dfrac{x}{2} - \dfrac{1}{11} = \dfrac{4}{11}$
$⇔ \dfrac{x}{2} = \dfrac{5}{11}$
$⇔11x = 10$
$⇔ x = \dfrac{10}{11}$
Vậy $x = \dfrac{10}{11}$