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Blizzard [7]
3 years ago
11

What is the first step to solve the absolute value equation 2|x+5|=16 for x?????

Mathematics
1 answer:
Drupady [299]3 years ago
4 0

Divide both sides by 2.

<span><span><span>‌<span><span>2<span>(<span>|<span>x+5</span>|</span>)</span></span>2</span></span>‌</span>=<span><span>‌<span>162
</span></span>‌</span></span><span><span>|<span>x+5</span>|</span>=8

</span>Solve Absolute Value.

<span><span>|<span>x+5</span>|</span>=8

</span>We know either<span><span>x+5</span>=8</span> or <span><span>x+5</span>=<span>−8

</span></span><span><span>x+5</span>=8 </span>

<span><span><span>x+5</span>−5</span>=<span>8−5</span></span>(Subtract 5 from both sides)

<span>x=3</span><span><span>

</span></span>Answer:<span><span>x=<span><span><span><span>3‌</span>‌ </span></span></span></span></span>
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