Answer
$x=-\frac{4}{3},-2$
Work Step by Step
Solve the inequality $|3x+5|=1$
$3x+5=±1$
Subtract $5$.
$3x=±1-5$
This implies
$3x=1-5$ or $3x=-1-5$
$3x=-4$ or $3x=-6$
Divide by 3.
Hence, $x=-\frac{4}{3},-2$
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