Python interpreter error, x takes no arguments (1 given)

Make sure, that all of your class methods (updateVelocity, updatePosition, ...) take at least one positional argument, which is canonically named self and refers to the current instance of the class.

When you call particle.updateVelocity(), the called method implicitly gets an argument: the instance, here particle as first parameter.

Your updateVelocity() method is missing the explicit self parameter in its definition.

Should be something like this:

def updateVelocity(self):    
    for x in range(0,len(self.velocity)):
        self.velocity[x] = 2*random.random()*(self.pbestx[x]-self.current[x]) + 2 \
          * random.random()*(self.gbest[x]-self.current[x])

Your other methods (except for __init__) have the same problem.

Python implicitly passes the object to method calls, but you need to explicitly declare the parameter for it. This is customarily named self:

def updateVelocity(self):