$(4, +\infty)$ Refer to the image below for the graph.
Work Step by Step
Add $5$ to both sides to obtain: $2x \gt 8$ Divide by $2$ on both sides to obtain: $x \gt 4$ The solution set is the set of real numbers greater than $4$. In interval notation, the solution set is: $(4, +\infty)$ To graph this inequality, plot a hole (or hollow dot) at $x=4$ then shade the region to its right. (refer to the attached image in the answer part)