\(x+\frac{1}{2}+x+\frac{3}{3}+x+\frac{1}{4}=x+\frac{1}{5}+x+\frac{1}{6}\)
=> ( x + x + x ) + \(\left(\frac{1}{2}+1+\frac{1}{4}\right)=\left(x+x\right)+\left(\frac{1}{5}+\frac{1}{6}\right)\)
=> 3x + \(\frac{7}{4}=2x+\frac{11}{30}\)
=> 3x - 2x = \(\frac{11}{30}-\frac{7}{4}\)
=> x = \(\frac{-83}{60}\)
\(x+\frac{1}{2}+x+\frac{3}{3}+x+\frac{1}{4}=x+\frac{1}{5}+x+\frac{1}{6}\)
\(\Leftrightarrow\left(x+x+x\right)+\left(\frac{1}{2}+\frac{3}{3}+\frac{1}{4}\right)=\left(x+x\right)+\left(\frac{1}{5}+\frac{1}{6}\right)\)
\(\Leftrightarrow3x+\frac{7}{4}=2x+\frac{11}{30}\)
\(\Leftrightarrow3x-2x=\frac{11}{30}-\frac{7}{4}\)
\(\Leftrightarrow1x=-\frac{83}{60}\)
\(\Leftrightarrow x=\left(-\frac{83}{60}\right):1\)
\(\Leftrightarrow x=-\frac{83}{60}\)
Vậy \(x=-\frac{83}{60}\).
Chúc bạn học tốt!
