Okay, so with any equation, the goal is to get the variable (x) all by itself on one side of the equation, and a constant (number) all by itself on the other.
You can do ANYTHING you want to the terms in the equation as long as you do EXACTLY the same thing to both sides thereby keeping the sides equal.
There is more than one way to go about this... but my advice is...
Start by combining the terms on the right side. You can only add fractions with like denominators, so first re-write 5/x as 10/2x. That doesn't require a matching step on the left since you have just changed the way the number is WRITTEN, not what it means.
Now, you can add 10/2x to 1/2x. your equation now reads 3/x-1 = 11/2x.
Now, let's get the x's out from the denominators. You can undo division with multiplication, so multiply both sides by (x-1).
That leaves you with 3= (11x-11)/ 2x <--- I did 11(x-1) to get the new numerator.
Now get the 2x out of the denominator by multiplying both sides by 2x (like we did with the x-1)
You have 6x = 11x-11
I'll bet you can solve from there... but if not.
Subtract 11x from both sides.
-5x = -11
Divide both sides by -5
x = 11/5 (or 2 1/5 depending on how you want to write it)
Check you work by substituting 11/5 back in to the ORIGINAL equation and making sure both sides come out equal. Each side comes out 2.5 so you know it's correct!