The purpose of my method is to get the currentTime, and set it back for 20 minutes. For what I can see, my method is correct, but the output shows something else.
This
currentTime = DateTime.Now.AddMinutes(5.0f);
The AddMinutes function returns a DateTime.
DateTime.AddMinutesMethod Returns a new DateTime that adds the specified number of minutes to the value of this instance.
DateTime currentTime = DateTime.Now;
double minuts = -20;
currentTime = currentTime.AddMinutes(minuts);
Console.WriteLine("Nuværende tid: "+currentTime);
try:
currentTime = currentTime.AddMinutes(minuts);
DateTime is "immutable", what that means is you can never modify an existing instance, only make new ones. Strings are the same, for example. So you need to use the result of the AddMinutes call, which gives you your existing currentTime with the minuts variable applied.
currentTime = currentTime.AddMinutes(minuts);
...
currentTime = currentTime.AddMinutes(minuts); 
...
AddMinutes returns a new DateTime object so you need:
    DateTime currentTime = DateTime.Now;
    double minuts = -20;
    DateTime newTime = currentTime.AddMinutes(minuts);
    Console.WriteLine("Nuværende tid: "+newTime);