Answer
$\frac{-4}{5} \lt x \lt \frac{8}{5}$
Work Step by Step
$$|5x-2| \lt 6$$
$$-6 \lt 5x-2 \lt 6$$
$$-6+2 \lt 5x-2+2 \lt 6+2$$
$$-4 \lt 5x \lt 8$$
$$\frac{-4}{5} \lt \frac{5x}{5} \lt \frac{8}{5}$$
$$\frac{-4}{5} \lt x \lt \frac{8}{5}$$
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