Count the number of zeroes, from right to left

I'm looking to count the number of zeroes from right to left, based on the latest value. This count stop if a non-zero appears.

So for example, I have a row of the following values:

Example #1:

(10, 0, 0, 2, 0, 0, 3, 1, 0, 0, 0, 0, 0, 5, x - the formula)

X = 0, because the last value is a non-zero

Example #2:

(10, 0, 0, 2, 0, 0, 3, 1, 0, 0, 5, 0, 0, 0, x - the formula)

X = 3, because there were three zeroes before a non-zero popped up

I have an array formula that returns the position of the first column on the right that isn't a 0, but I'm not sure where to go from here (if this is even a viable solution on the right track).

=COLUMN(INDEX($E22:$AF22,MAX(($E22:$AF22>0)*ISNUMBER($E22:$AF22)*(COLUMN($E22:$AF22)-COLUMN($E22)+1))))

EDIT: I'm an idiot. I just took the # of columns I had, minus the function above to get what I needed.