Answer
$[-\frac{3}{2},3]$
Work Step by Step
We have the equation $-6\le6x+3\le21$
Subtract -3 from each part.
$-9\le6x\le18$
Divide each part by 6.
$-\frac{3}{2}\le{x}\le3$
Because it is less than or equal to, the solution set is $[-\frac{3}{2},3]$