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 = 104 3 = 63 =3, 2(1)4 = 243 = 63 = 3.
I hope this explains the problem. Remember, each absolute value problem has two answers, at most .
3/30/2014

Kevin C.