Answer
$[2,8]$
Work Step by Step
$|x-5|\leq 3$ (Use the property $|x|\leq a$ iff $-a\leq x\leq a$)
$-3\leq x-5\leq 3$ (Add $5$)
$2\leq x\leq 8$
The solution is $[2,8]$.
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