Peter R. answered 09/28/22
Experienced Instructor in Prealgebra, Algebra I and II, SAT/ACT Math.
Several ways to approach it but I'd suggest multiplying both sides by 3/2 to eliminate the fractions.
(3/2)(2/3)(2x+3) = (3/2)(2) → 2x+3 = 3
Looks like x = 0!!
Check: (2/3)(0 + 3) = 2 (OK)