\(\dfrac{9}{7}x+\dfrac{5}{7}x=\dfrac{2}{3}\)
\(\Leftrightarrow x\left(\dfrac{9}{7}+\dfrac{5}{7}\right)=\dfrac{2}{3}\)
\(\Leftrightarrow\dfrac{14}{7}x=\dfrac{2}{3}\)
\(\Leftrightarrow2x=\dfrac{2}{3}\)
\(\Leftrightarrow x=\dfrac{2}{3}:2\)
\(\Leftrightarrow x=\dfrac{2}{3}\times\dfrac{1}{2}\)
\(\Leftrightarrow x=\dfrac{2}{6}\)
\(\Leftrightarrow x=\dfrac{1}{3}\)