\[\begin{array}{*{35}{l}}
2\text{ }\left( 3\text{ }-\text{ }x \right)\text{ }\ge \text{ }x/5\text{ }+\text{ }4 \\
6\text{ }-\text{ }2x\text{ }\ge \text{ }x/5\text{ }+\text{ }4 \\
6\text{ }-\text{ }2x\text{ }\ge \text{ }\left( x+20 \right)/5 \\
5\left( 6\text{ }-\text{ }2x \right)\text{ }\ge \text{ }\left( x\text{ }+\text{ }20 \right) \\
30\text{ }-\text{ }10x\text{ }\ge \text{ }x\text{ }+\text{ }20 \\
30\text{ }\text{ }20\text{ }\ge \text{ }x\text{ }+\text{ }10x \\
10\text{ }\ge 11x \\
11x\text{ }\le \text{ }10 \\
\end{array}\]
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].