\(\frac{x}{2}+x+\frac{x}{3}+x+x+\frac{x}{4}=\frac{23}{12}\)
\(\left(\frac{x}{2}+\frac{x}{3}+\frac{x}{4}\right)+\left(x+x+x\right)=\frac{23}{12}\)
\(\frac{3x}{12}+\frac{36x}{12}=\frac{23}{12}\)
\(\frac{49x}{12}=\frac{23}{12}\)
\(\frac{49}{12}.x=\frac{23}{12}\)
\(x=\frac{23}{12}:\frac{49}{12}=\frac{23}{49}\)