Screen wise, the iPhone 8 plus is wider but not taller. Please look at the video above to verify, but yes the normal size iPhone 8 is about the same as the iPhone X. Way bigger is subjective and I would say it is bigger but not way bigger.
Actually the difference in screen size (talking total area here so that is the parameters of my post) between an non-Plus and a X is _way_ greater than a Plus and a X.
Plus v. X display area difference = +1.2% for Plus
non-Plus v. X display area diff = +27% for the X