SOLUTION: How would I solve this? The example on My Math lab said to multiply 10 and 6...why? |8x-3|=6 ----- 10 (the absolute value bars are around 8x-3 over 10. Thanks!

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Question 560106: How would I solve this? The example on My Math lab said to multiply 10 and 6...why?
|8x-3|=6
-----
10
(the absolute value bars are around 8x-3 over 10.
Thanks!

Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
|8x-3|=6
-----
10
---
If the fraction [(8x-3)/10] is in the absolute value sign
you get two equations:
(8x-3)/10 = 6 and (8x-3)/10 = -6
8x-3 = 60 or (8x-3)= -60
8x = 63 or 8x = -57
x = 63/8 or x = -57/8
------------------------------
If the 10 is not in the absolute value sign you get
|8x-3| = 60
Then you get:
8x-3 = 60 or 8x-3 = -60
8x = 63 or 8x = -57
8x = 63/8 or x = -57/8
================
Either way you get the same result.
===============
Cheers,
Stan H.
===============

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
 = 6

To remove absolute value bars, you must make and solve two 
separate equations.

 = +6    and }} = -6

Multiply both sides of both equations by 10 to clear of fractions:

 8x-3 = 60         and    8x-3 = -60

Add 3 to both sides of both equations:

   8x = 63         and      8x = -57
    x =   and      x = 

Two solutions:   and  

Edwin

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