\[\begin{array}{*{35}{l}}

2\text{ }\left( 3\text{ }-\text{ }x \right)\text{ }\ge \text{ }x/5\text{ }+\text{ }4  \\

6\text{ }-\text{ }2x\text{ }\ge \text{ }x/5\text{ }+\text{ }4  \\

6\text{ }-\text{ }2x\text{ }\ge \text{ }\left( x+20 \right)/5  \\

5\left( 6\text{ }-\text{ }2x \right)\text{ }\ge \text{ }\left( x\text{ }+\text{ }20 \right)  \\

30\text{ }-\text{ }10x\text{ }\ge \text{ }x\text{ }+\text{ }20  \\

30\text{ }\text{ }20\text{ }\ge \text{ }x\text{ }+\text{ }10x  \\

10\text{ }\ge 11x  \\

11x\text{ }\le \text{ }10  \\

\end{array}\]

Dividing both sides by 11, we get

\[\begin{array}{*{35}{l}}

11x/11\text{ }\le \text{ }10/11  \\

x\text{ }\le \text{ }10/11  \\

\end{array}\]

∴ The solution of the given inequation is (-∞, 10/11].