Daryl, you forgot to send your message.

Did you realize that, according to my demonstration, the
Lorentz time transformation
t' = gamma(t-xv/c^2) can be written
t' = (x/v + gamma^2(t-x/v)) / gamma,
from which it is clear that the LT doesn't treat homogenously
the time coordinate tE.

Try with x=3, t=5 and v=0.866 (gamma=2).

Marcel