Answer :
The given expression:
[tex]\frac{x}{3}-3=\frac{x}{9}+3[/tex]Arrange the variables terms and constant term together:
[tex]\begin{gathered} \frac{x}{3}-3=\frac{x}{9}+3 \\ \frac{x}{3}-\frac{x}{9}=3+3 \end{gathered}[/tex]Least Common multiple of 3 & 9 is 9
[tex]\begin{gathered} \frac{x}{3}-\frac{x}{9}=3+3 \\ \frac{3x-x}{9}=6 \\ \frac{2x}{9}=6 \end{gathered}[/tex]Apply cross multiplication:
[tex]\begin{gathered} \frac{2x}{9}=6 \\ 2x=6\times9 \\ x=\frac{6\times9}{2} \\ x=27 \end{gathered}[/tex]Answer: J) 27