Answer
$[-\frac{2}{3},2]$
Work Step by Step
$|3x-2|+5\le9 \Longrightarrow |3x-2|\le4 \Longrightarrow -4\le 3x-2\le4 \Longrightarrow -2\le 3x\le6 \Longrightarrow -\frac{2}{3}\le x\le2$ or $[-\frac{2}{3},2]$
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