How do you handle conflicting feedback from different stakeholders during the design process?

It's a stressful challenging point. As a UX designer, I care about different objects during the design process ( Project goals, User pain points, Logical user flow, and usability ). I find myself collaborative when I just hear from the client and implement the feedback as it is, but most of the time I provide my feedback supported by a rough sketch as I understand that the client is seeking visual solutions and feedback rather than a discussion. 

I always take conflicting feedback as an idea for improving the design. But I make sure it aligns with the product's success. Otherwise, I provide logical reasoning to support my approach.