As Chuckinca stated,
Take I-84 north toward Ogden to get around the steep area on I-80 just past Park City.
Get on I-84 north just past I-80 mile marker 169
Before Ogden, take US 89 south to I-15 south to I-215 south to I-80 west just past the airport. It is about 9 miles longer than taking I-80 thru SLC.
Thus you do not have the long down hill grade to deal with and you will
save on fuel that way and brakes as well....
I'd gas up in Evanston, WY at the Pilot at Exit 6, Bear River Dr, on the east side of town and drive 211 miles to West Wendover, NV for the next fill-up and not look for gas in Salt Lake City area.
In Wyoming you have Shermen pass out side of Cheyanne Wy which is
always windy and then Elk MT which is sort of a drag and then the three
sisters the other side of Little America...
I have been across I-80 from the east to west in past years so many
times that I can tell you almost every pot hole and crack in the pavement.
As someone said it is nice ride with lots to look at, lots of great site's and
mile after mile of boring road
Also take your time, 500 miles is a pretty good day for some people even
some truck drivers, so stop when you are feeling sleepy, take a brake
every so often