\(\left(x-\frac{2}{3}\right)^2=\frac{16}{9}\)
\(\Rightarrow x^2-\frac{2}{3}^2=\frac{16}{9}\)
\(x^2-\frac{4}{9}=\frac{16}{9}\)
\(\Rightarrow x^2=\frac{16}{9}+\frac{4}{9}=\frac{20}{9}\)
\(x+\frac{2}{3}=\sqrt{\frac{16}{9}}\)
\(x+\frac{2}{3}=\frac{4}{3}\)
x=\(\frac{2}{3}\)