Notice of the election shall be posted and published in the same manner provided by law for the posting and publication of notice of elections to annex territory to districts. The territory described in the notice shall be that established and defined by the district board of commissioners. All qualified voters residing within the district shall have the right to vote at the election. If a majority of the votes cast favor the withdrawal from the district of such territory, then within ten days after the official canvass of the election the county legislative authority of each county in which the district is located shall by resolution establish that the territory has been withdrawn, and the territory shall thereupon be withdrawn and excluded from the district the same as if it had never been included therein except for the lien of any taxes as hereinafter set forth.