\(\frac{4}{3}+\left(x+3\right).2-\frac{1}{2}=9.\frac{1}{2}+4\)
\(\frac{4}{3}+\left(x+3\right).2-\frac{1}{2}=\frac{17}{2}\)
\(\frac{4}{3}+\left(x+3\right).2=\frac{17}{2}+\frac{1}{2}\)
\(\frac{4}{3}+\left(x+3\right).2=9\)
\(\left(x+3\right).2=9-\frac{4}{3}\)
\(\left(x+3\right).2=\frac{23}{3}\)
\(x+3=\frac{23}{3}:2\)
\(x+3=\frac{23}{6}\)
\(x=\frac{23}{6}-3\)
\(x=\frac{5}{6}\)