I'm going to walk you through each step.
Divide both sides by -3:
|x-3|=2
Since it is an absolute value equation, there's something you need to do. First, you take the bars off and solve:
x-3=2
x=5
That's one solution.
Now, you take the bars off the original equation again, but this time you multiply the whole thing by -1.
-1(x-3)=2
-x+3=2
-x=-1
x=1
That's the second solution.
So, the solutions for x are 1 and 5
Hope this helped!