\(\frac{2x}{3}-\frac{x}{4}=\frac{5}{6}\)
\(\Leftrightarrow\frac{2x}{3}.12-\frac{x}{4}.12=\frac{5}{6}.12\)
<=> 8x - 3x = 10
<=> 5x = 10
<=> x = 10 : 5
<=> x = 2
=> x = 2
\(\frac{2x}{3}-\frac{x}{4}=\frac{5}{6}\)
\(\Rightarrow\frac{4\cdot2x}{12}-\frac{3x}{12}=\frac{5}{6}\)
\(\Rightarrow\frac{8x}{12}-\frac{3x}{12}=\frac{5}{6}\)
\(\Rightarrow\frac{5x}{12}=\frac{5}{6}\)
\(\Rightarrow\frac{5x}{12}=\frac{5\cdot2}{12}\)
\(\Rightarrow\frac{5x}{12}=\frac{10}{12}\)
\(\Rightarrow5x=10\)
\(\Rightarrow x=2\)
Vậy \(\Rightarrow S=\left\{2\right\}\)