Enterprise Architecture (EA) has been identified as a means to Business-/IT-Alignment, cost reduction or to facilitate change. Research has been focusing on the effectiveness of EA management while the enterprise architecting process is the process of developing, managing, utilizing and maintaining architectural descriptions (ADs) for EA. In this paper we present the results of a literature review on the process of enterprise architecting. Our research contribution is a consolidated view on the challenges and issues arising throughout the architecting process.