You can lose fat while bulking up with the proper diet and exercise routine. You must understand the scale is not always the best measure of progress. If you are trying to bulk up and lose fat at the same time you should measure success by your body fat percentage. If you combine the right about of cardiovascular exercises, weightlifting and dieting you can lose fat and bulk up simoustaneously.
For example: Adam weighs 185 pounds in which 20.7% is body fat. Adam can lose 10 pounds of muscle while gaining 10 pounds of muscle. On the scale he may weight the same but he would look bulkier and cut. So don’t waste valuable time striping all of the fat first when you can do it together. After this process you can continue to get bigger but it will be all muscle once you get to the fat percentage you desire.