Suppose that a weapons inspector must inspect each of five different sites twice,

visiting one site per day. The inspector is free to select the order in which to visit these sites, but cannot visit site X, the most suspicious site, on two consecutive days. In how many different orders can the inspector visit these sites?

I am assuming that first I would consider the "inspect each of five different sites twice" just as 10 different sites to visit. The number of possibilities for that would be 10!. Then I would substract from that the number of cases where site X is visited 2 days in a row. I am stuck on how to calculate that (the cases where x site is visited on two consecutive days). Any ideas?