\(\left(x-\dfrac{1}{2}\right):\dfrac{1}{3}+\dfrac{5}{7}=9\dfrac{5}{7 }\\ \Leftrightarrow\left(x-\dfrac{1}{2}\right):\dfrac{1}{3}=\left(9\dfrac{5}{7}-\dfrac{5}{7}\right)\\ \Leftrightarrow\left(x-\dfrac{1}{2}\right):\dfrac{1}{3}=9\\ \Leftrightarrow x-\dfrac{1}{2}=9:\dfrac{1}{3}\\ \Leftrightarrow x-\dfrac{1}{2}=9.3\\ \Leftrightarrow x-\dfrac{1}{2}=27\\ \Leftrightarrow x=27+\dfrac{1}{2}\\ \Leftrightarrow x=27\dfrac{1}{2}\)
\(\Leftrightarrow\left(x-\dfrac{1}{2}\right):\dfrac{1}{3}+\dfrac{5}{7}=\dfrac{68}{7}\\ \Rightarrow\left(x-\dfrac{1}{2}\right):\dfrac{1}{3}=\dfrac{68}{7}-\dfrac{5}{7}\\ \Rightarrow\left(x-\dfrac{1}{2}\right):\dfrac{1}{3}=9\\ \Rightarrow x-\dfrac{1}{2}=9:\dfrac{1}{3}\\ \Rightarrow x-\dfrac{1}{2}=27\\ \Rightarrow x=27+\dfrac{1}{2}\\ \Rightarrow x=\dfrac{55}{2}\)
