Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Skills Handbook - Absolute Value - Exercises - Page 892: 15


$x=20\text{ or }x=-20$

Work Step by Step

We start with the given equation: $|x|+7=27$ First, we must isolate the absolute value term by subtracting $7$ from both sides: $$|x|+7-7=27-7$$$$|x|=20$$ We must determine all values $x$ that are $20$ units away from $0$ on a number line. We find that both $20$ and $-20$ satisfy this condition. Therefore, $x=20\text{ or }x=-20$
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