\(\left(x+2\right)\times\left(2+x\right)=\frac{1}{2}-\frac{1}{3}\)
\(\left(x+2\right)\times\left(2+x\right)=\frac{1}{6}\)
\(\left(x+x\right)\times\left(2+2\right)=\frac{1}{6}\)
\(x\times2\times4=\frac{1}{6}\)
\(x\times2=\frac{1}{6}:4\)
\(x\times2=\frac{1}{24}\)
\(x=\frac{1}{24}:2\)
\(x=\frac{1}{48}\)