Answer
See Below
Work Step by Step
The inequality can be solved as follows:
\[\begin{align}
& 4x+3\left( 2x-7 \right)\le x-3 \\
& 4x+6x-21\le x-3 \\
& 10x-x-21\le x-x-3 \\
& 9x-21+21\le -3+21 \\
\end{align}\]
So,
\[\begin{align}
& 9x\le 18 \\
& \frac{9x}{9}\le \frac{18}{9} \\
& x\le 2 \\
\end{align}\]
The solution of the inequality is \[x\le 2\].
