=>12/13x=2
=>x=2:12/13=2*13/12=13/6
\(2\dfrac{7}{9}-\dfrac{12}{13}x=\dfrac{7}{9}\)
\(\Rightarrow\dfrac{25}{9}-\dfrac{12}{13}x=\dfrac{7}{9}\)
\(\Rightarrow\dfrac{12}{13}x=\dfrac{25}{9}-\dfrac{7}{9}\)
\(\Rightarrow\dfrac{12}{13}x=\dfrac{18}{9}\)
\(\Rightarrow\dfrac{12}{13}x=2\)
\(\Rightarrow x=2:\dfrac{12}{13}\)
\(\Rightarrow x=\dfrac{13}{6}\)