Hint: The second inner layer and the fith outter layers are not connect to any other circle. So, that means you can always come back to these layers last since you can rotate them independtly of the other layers that are stuck to each other. Work your way out from the middle and view our screenshot to see what the final result should look like.
Solution:
1) Rotate Ring 5 (should be linked to Ring 3) two notches to the left.
2)Rotate Ring 4 two notches to the left.
3) Rotate Ring 3 (should be linked to Ring 1) two notches to the right.
4) Rotate Ring 2 five notches to the right.
5) Rotate Ring 1 (should be linked to Ring 5) three notches to the left