# Simple pre calc problem I can't seem to figure out.?

### 3 Answers

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- MichaelLv 74 months ago
If the value inside the absolute value, x - 8, is

either +5 or -5 then it's absolute value is 5

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Solution I: because |-5| = 5

x - 8 = -5

Add 8 to both sides

x = 3 <–––––

Solution II: because |5| = 5

x - 8 = 5

Add 8 to both sides

x = 13 <–––––

- Ian HLv 74 months ago
This graph illustrates the situation

https://www.wolframalpha.com/input/?i=y+%3D+%7Cx+-...

When x = 3, x - 8 = -5 and |x - 8| = 5

When x = 13, x - 8 = 5 and |x - 8| = 5

So, x = 3 and x = 13 are the required values

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