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i don't understand how to find absolute values. I have a problem: 10=|4x=6|. How do I do it?

I've been having trouble with Absolute Values and my teacher has been speeding ahead, and I'm not understanding any of it! Help meee~ Please.

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Oren S. | Mathematics and Computer Science TutorMathematics and Computer Science Tutor
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The absolute value of x is x if x is positive and -x if x is negative.  For example, |5|=5 and |-4|=4.

I'm going to assume that for your problem you meant 10=|4x-6|.  What you need to do is try the problem assuming that 4x-6 is positive and that 4x-6 is negative.  Then you need to check both solutions.

Positive:

10=4x-6

16=4x

4=x

Check:

4*4-6=10, which is positive.

Negative:

10=-(4x-6)

10=6-4x

4=-4x

-1=x

Check:

4*-1-6=-10, which is negative.

So, the solutions are 4 and -1.