The governor may remove any commissioner for inefficiency, neglect of duty, or misconduct in office, giving to him a copy of the charges against him and an opportunity of being publicly heard in person or by counsel, in his own defense, upon not less than ten days’ notice. If such commissioner shall be removed, the governor shall file in the office of the secretary of state a complete statement of all charges made against such commissioner, and his findings thereon, together with a complete record of the proceedings. The legislature also shall have the power, by a two-thirds vote of all members elected to each house, after ten days’ notice in writing of the charges and a public hearing, to remove any one or more of said commissioners from office for dereliction of duty, or corruption, or incompetency.