Absolute Value Possibilities for Variables

|x-4| + |x| = 8 what is the sum of the possible value(s) of x?

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...o absolute values, and their roots are, i.e. the values that make them 0 are x=0 and x=4. So there are three regions (-infinity, 0), (0,4), (4,+infinity).

For (-infinity , 4) both absolute values will be negative so to take out we have to ...