Step 1 :Let's find the value of the function $f(x)=-3|x-5|$ at $x=2$.
Step 2 :Substitute $2$ for $x$ in the function to get $f(2)=-3|2-5|$.
Step 3 :The absolute value of $2-5$ is $3$, so $f(2)=-3*3$.
Step 4 :Simplify to get $f(2)=-9$.
Step 5 :So, the final answer is \(\boxed{-9}\).