Given the equation:
[tex]\frac{x}{3}-3=11[/tex]Let's determine the first operation needed to solve the given equation.
To solve the equation, the first step to take will be to move 3 to the right side of the equation.
To do this, let's add 3 to both sides of the equation:
[tex]\begin{gathered} \frac{x}{3}-3+3=11+3 \\ \\ \frac{x}{3}=14 \end{gathered}[/tex]Therefore, the first operation needed to solve the given equation is addition.
ANSWER:
Addition