Solving an absolute value.

|2x - 7| = 3

How would i solve this, and would there be two answers?

Yes, there would be two answers. Turn the original equation with the absolute value into two separate equations with no absolute value:

2x-7 = 3 and 2x-7 = -3

Then just solve each equation.
 
Oxymoron said:
|2x - 7| = 3

How would i solve this, and would there be two answers?
I recommend a careful extraction of non-absolute value problems. The extraction is based on the following observation:

1) |x| = x IF x >= 0 Example: |3| = 3
2) |x| = -x IF x < 0 Example: |-3| = -(-3) = 3

Can you see how to tear it apart with this idea?
 
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