1. Note that
[tex]3\dfrac{2}{3}=\dfrac{3\cdot 3+2}{3}=\dfrac{9+2}{3}=\dfrac{11}{3}.[/tex]
2. Then the equation [tex]3\dfrac{2}{3}x=22[/tex] can be rewritten
[tex]\dfrac{11}{3}x=22.[/tex]
3. Solve it:
[tex]x=22:\dfrac{11}{3},\\ \\x=22\cdot \dfrac{3}{11}=2\cdot 3=6.[/tex]
Answer: x=6
