I need a script to incrementally nudge layers (to align them)

Hi,

I have a video file which I have chopped into jpegs, the images show a vehicle moving through a scene one pixel at at time. I need a script to move the scene so the movement is static, by incrementally nudging the image left or right

for example if I load to a stack the layers would be like this (x = background v = vehicle)

xxxxxxvxxxxxx
xxxxxvxxxxxxx
xxxxvxxxxxxxx
xxxvxxxxxxxxx
xxvxxxxxxxxxx
xvxxxxxxxxxxx

I need the output to be like this

xvx
xvx
xvx
xvx
xvx
xvx

the amount of movement I need is just 1 pixel increment from each image, and the final can then be cropped down. There are 720 images per stack and about 6 different stacks to process. The background will be elongated before the script running so that when I crop down I will have the amount I want

Basically, I want something like,

Select Layer 1
Nudge left by "nudgeamount"

Increase "nudgeamount"+1
Select next layer

run until last layer