maths

I've to solve the following absolute value equation: |x - 3| - 4 = 0.

I found one of the answers which is 7 i.e.
|x - 3| - 4 = 0
x - 7 = 0
x = 7
However, my textbook also includes -1 as the answer. How did they get this answer?

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  1. -x+3-4=0
    -x+3=4
    -x=1
    x=-1

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  2. Oh, ok! Got it now! thanks a lot!!

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  3. Does this mean we have to only do the following?
    -(x - 3)-4 =0
    -x + 3 - 4 = 0
    -x + 3 = 4
    x = -1
    Is this the right way to solve?

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