\(\frac{19}{3}-\left(\frac{1}{2}+x\right):\frac{14}{3}=\frac{5}{2}\)
\(\frac{19}{3}-\left(\frac{1}{2}+x\right)=\frac{5}{2}.\frac{14}{3}\)
\(\frac{19}{3}-\left(\frac{1}{2}+x\right)=\frac{35}{3}\)
\(\frac{1}{2}+x=\frac{35}{3}-\frac{19}{3}\)
\(\frac{1}{2}+x=\frac{16}{3}\)
\(x=\frac{16}{3}-\frac{1}{2}\)
\(x=\frac{29}{6}\)