[tex]:\implies\sf\:2-\dfrac{x}{3}=6-x[/tex]
Taking LCM in left side, we obtain
[tex]:\implies\sf\:\dfrac{6-x}{3}=6-x[/tex]
[tex]:\implies\sf\:6-x=3(6-x)[/tex]
[tex]:\implies\sf\:6-x=18-3x[/tex]
[tex]:\implies\sf\:-x+3x=18-6[/tex]
[tex]:\implies\sf\:2x=12[/tex]
[tex]:\implies\sf\:x=\dfrac{12}{2}[/tex]
[tex]:\implies\boxed{\bf{\orange{x=6}}}[/tex]