Add width to Line and convert to Polygon

I have line features from an Autocad DWG import that I would like to turn into polygons by adding some width to the line. The line may consist of one or more line segments. I'm thinking I could break the line into segments, create two copies of each segment, move the segments parallel to the original line in opposite directions and then create a hull around all the points. I'm not sure how to do this. Is there an easier way?