Is it true that the sun goes down to the west? I know the sun doesn't go down but we are moving and is it true that the sun goes down to the west? I've read on many webpages that this is not entirely true.
Earth rotates. That gives us the feeling of Sunrise and Sunset. Actually there are no such things. See Below animated image. Earth completes one rotation in a day (24hrs). (Actually 1 rotation of earth is called a "Day").

This image also depicts the cause of Solstice and Equinox, earth's tilted axis.