The disclosure pertains to installing a plurality of tear cords between a metal tube and a protective jacket. The multiple cords facilitate ease of removal of the protective jacket by creating a panel of the jacket that is detached from the remainder by pulling on the multiple tear cords. The resulting widened space can be used to remove the tube from the remaining protective jacket. The jacketed tubes may be used in a hydrocarbon production downhole well bore. The tubes may be used to furnish hydraulic fluid or chemicals into the well bore. The contents may be pressurized or under vacuum. The jacketed tubes are hermetically sealed. The tubes, which may be 1 inch in diameter, are joined using compression fittings. Tear cords are used to facilitate removal of the protective jacket without damage to the tube surface thereby facilitating the placement of compression fittings and maintaining the integrity of the tube wall.