Himotoku (Untangle a loop)

"Himotoku" is a game where you untangle a tangled loop of string.
You move the circles so that no lines are overlapping to each other.
Higher levels you go, there will be more joints which make it more difficult to untangle.
You can keep untangling loops, or you can try to untangle loops with minimum moves.

You will be recorded of your minimum moves for levels 5 to 30.
(You can proceed with levels 31 and higher, but I don't know how far you could go.)