Move Object along a moving path continuously

I want to have objects on escalators that are going downward and are also moving left and right, while the object stays perfectly in the middle moving downward (with it's own speed)and not shaking, etc.

1. There's a line of objects moving down the escalator constantly and it isn't a loop, they meet a definite end at the bottom of the escalator.

2. The escalator moves left and right frequently.

3. The path can not be a solid, because it will interact with other objects.

How can I keep the objects moving downward perfectly on this moving path?

do you have a screenshot of your escalator design?

How's this?

dropbox.com/s/9k2722k6x3rmdc1/escalator.capx?dl=0

I used platform behaviour on the box as I had no idea how you planned on getting them to move around.

LukeW thanks for the try, sorry for the lack of details

https://gyazo.com/e93cb9a279a6f99951081857ce3acfb2

Here's my example. I want the object to stay perfectly on the path instead of falling off or shaking.

Every Tick | Set Object.X to Path.X

Ah thank you. That was a simple fix.

https://gyazo.com/9ac1c588c88307b72e4ee35ffec20f47