Answer
$x\le8$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
5(x-2)\le30
,$ is
\begin{array}{l}\require{cancel}
(x-2)\le\dfrac{30}{5}
\\\\
x-2\le6
\\\\
x\le6+2
\\\\
x\le8
.\end{array}