flipping layers and motion problem

Hi. I have several layers linked together that animate a figure moving from right to left across the screen. I thought that if i copied and pasted those layers, and then flipped them, it would also flip the motion direction, but it did not. It simply appears as though the copied figure is moving backwards along the same position path as the original figure / layers.

can the movement path be flipped, or do i need to re-do the position path for the copied layers in order to get them going in the opposite direction?

Thanks
Laurence