A sports team is building a new stadium on a rectangular lot of land the lot measures 8x by 12x and the stadium will be 3x by 6x. How much land will be left for the parking lot

The area of the entire lot is 8x * 12x = <<8*12=96>>96x^2.

The area of the stadium is 3x * 6x = <<3*6=18>>18x^2.
Therefore, the area of land left for the parking lot is 96x^2 - 18x^2 = 78x^2. Answer: \boxed{78x^2}.