\(\left(2x-1\right):\dfrac{10}{7}=\dfrac{28}{15}:\dfrac{4}{3}\)
\(\Rightarrow\left(2x-1\right).\dfrac{7}{10}=\dfrac{28}{15}.\dfrac{3}{4}\)
\(\Rightarrow\left(2x-1\right).\dfrac{7}{10}=\dfrac{7}{5}\)
\(\Rightarrow2x-1=\dfrac{7}{5}:\dfrac{7}{10}\)
\(\Rightarrow2x-1=\dfrac{7}{5}.\dfrac{10}{7}\)
\(\Rightarrow2x-1=2\)
\(\Rightarrow2x=3\)
\(\Rightarrow x=\dfrac{3}{2}\)