The Mayor may at any time suspend any Commissioner for inefficiency, neglect of duty, malfeasance, misfeasance, or non-feasance in office, incapacity, or incompetency, provided, however, that such suspension shall not be effective without a hearing before Council and the concurrence of two-thirds of the total number of Councilmen provided for in this Charter, or until such Commissioner shall have been notified in writing of the charge against him at least ten (10) days in advance of any hearing upon such charge, and he or his counsel has been given an opportunity to be heard, present evidence, or examine any witness appearing in support of such charge.