Answer
The solution set is $(-\infty, +\infty)$.
The equation is an identity, which means that the equation is true for all real numbers.
Work Step by Step
Distribute $\frac{1}{2}$ to have:
$2a+3=3+2a
\\2a+3 = 2a+3$
This is a true statement. Thus, the equation is true for all real numbers.
The solution set is the set of all real numbers.