It's probably best not to use wet Adderall (amphetamine salts) tablets. The recommendation per the manufacturer is to store the medication away from moisture and in a moisture resistant container. Exposure to moisture not only affects tablet integrity, but can cause inconsistent dosing.

Proper storage of Adderall

'Store Adderall at room temperature, between 68 and 77 degrees F (20 and 25 degrees C). Store away from heat, light, and moisture. Keep Adderall out of the reach of children and away from pets." 

Moisture most likely has affected the integrity of the tablets and has caused them to become gelatinous or "gooey" as you describe. The main concern with taking these tablets is that you most likely won't be ingesting the full dose of the medication (due to partial loss of the tablet contents). This could cause you to not receive the desired effect from the tablets. In addition, exposing medication to moisture could cause premature break down of the actual drug, in addition to the tablets. Many drugs are not stable in solution, or when exposed to moisture.

To summarize

  • Exposing tablets to moisture can cause premature breakdown and damage tablet integrity. This may result in a loss of tablet contents, potentially causing inconsistent dosing.
  • Medications may become less stable and begin to break down when exposed to moisture or are in solution. This too can affect the dose you are receiving from these damaged tablets.

Lastly, it would be very difficult to know if the tablets were contaminated with soap/detergents from the wash. The chemicals in laundry soap aren't intended for ingestion. It would be prudent to be on the safe side and not ingest the tablets.

It is important to reach out to your doctor to see if you can get a replacement prescription for your destroyed Adderall. They may require that you bring the remaining Adderall to the office to confirm that they are unusable. Lastly, check with your insurance to see if they cover damaged medication.