a) \(\dfrac{2}{5}x-\dfrac{1}{3}=\dfrac{2}{3}\)
\(\Rightarrow\dfrac{2}{5}x=\dfrac{2}{3}+\dfrac{1}{3}\)
\(\Rightarrow\dfrac{2}{5}x=1\)
\(\Rightarrow x=\dfrac{5}{2}\)
b) \(\dfrac{2}{11}+\dfrac{1}{3}:x=\dfrac{6}{11}\)
\(\Rightarrow\dfrac{1}{3}:x=\dfrac{6}{11}-\dfrac{2}{11}\)
\(\Rightarrow\dfrac{1}{3}:x=\dfrac{4}{11}\)
\(\Rightarrow x=\dfrac{1}{3}:\dfrac{4}{11}\)
\(\Rightarrow x=\dfrac{11}{12}\)
c) \(\left(\dfrac{2}{11}+\dfrac{1}{3}\right):x=\dfrac{6}{11}\)
\(\Rightarrow x=\left(\dfrac{2}{11}+\dfrac{1}{3}\right):\dfrac{6}{11}\)
\(\Rightarrow x=\dfrac{17}{33}:\dfrac{6}{11}\)
\(\Rightarrow x=\dfrac{17}{18}\)
d) \(0,5-x\cdot\left(\dfrac{1}{3}\right)^2=\dfrac{1}{5}\)
\(\Rightarrow\dfrac{1}{2}-x\cdot\dfrac{1}{9}=\dfrac{1}{5}\)
\(\Rightarrow\dfrac{1}{9}x=\dfrac{1}{2}-\dfrac{1}{5}\)
\(\Rightarrow\dfrac{1}{9}x=\dfrac{3}{10}\)
\(\Rightarrow x=\dfrac{27}{10}\)
e) \(\left(\dfrac{6}{11}\right)^2\cdot x=\left(\dfrac{6}{11}\right)^6\)
\(\Rightarrow x=\left(\dfrac{6}{11}\right)^6:\left(\dfrac{6}{11}\right)^2\)
\(\Rightarrow x=\left(\dfrac{6}{11}\right)^{6-2}\)
\(\Rightarrow x=\left(\dfrac{6}{11}\right)^4\)
