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The table shows the solution to the equation |2x - 4| - 3 = 3:

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1 Answer

First:  Note that |2x - 4| - 3 = 3
 
What needs to be done to isolate the variable?  
 
Add 3
 
That gives:  |2x - 4| = 6.
 
There are two answers at this point:  +6 and -6.
 
Therefore:  2x - 4 = 6,   2x = 10,   x = 5.
 
        and:   2x - 4 = -6,  2x = -2,   x = -1.
 
But wait ..... were are not done:  Check:  |2(5)-4| -3 = |10-4| -3 = 6-3 =3,  |2(-1)-4| = |-2-4|-3 = 6-3 = 3.
 
I hope this explains the problem.  Remember, each absolute value problem has two answers, at most .