Theo đề bài : \(\left|\frac{2x+1}{3}\right|=\frac{x+5}{2}\)
TH1: \(\frac{2x+1}{3}=\frac{x+5}{2}\)
=> \(4x+2=3x+15\)
<=> x=13
TH2: \(-\frac{2x+1}{3}=\frac{x+5}{2}\)
=> \(-4x-2=3x+15\)
<=>7x=-17
<=> \(x=-\frac{17}{7}\)
Vậy x\(\in\left\{-\frac{17}{7};13\right\}\)