\(\frac{1}{2}\times x+\frac{2}{3}=\frac{5}{2}\)
\(\frac{1}{2}\times x=\frac{5}{2}-\frac{2}{3}\)
\(\frac{1}{2}\times x=\frac{11}{6}\)
\(x=\frac{11}{6}\div\frac{1}{2}\)
\(x=\frac{11}{3}\)
\(\frac{1}{2}x+\frac{2}{3}=\frac{5}{2}\)
\(\frac{1}{2}x=\frac{5}{2}-\frac{2}{3}=\frac{11}{6}\)
\(x=\frac{11}{6}\div\frac{1}{2}\)
\(x=\frac{11}{3}\)