#### Answer

$x=-4~or~x=4$.

#### Work Step by Step

Using the definition of the absolute value, we have
$$
|-2x|=8\Longrightarrow -2x=8~or~ -2x=-8
.$$
Thus, we solve the two possible equations:
$-2x=8$ or $-2x=-8$
$x=-4~or~x=4$.

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Published by
Pearson

ISBN 10:
0-32193-104-1

ISBN 13:
978-0-32193-104-7

$x=-4~or~x=4$.

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