We'll apply the property of absolute value and we'll
discuss 2 cases:
2x-5 for
2x-5>=0
2x>=5
x>=5/2
-2x
+ 5 for
2x-5<0
2x<5
x<5/2
Case
1: x belongs to the interval [5/2, +infinite).
2x - 5 =
8
2x = 8+5
2x =
13
x = 13/2
Since x = 13/2
belongs to the interval [5/2, +infinite), we'll accept it as
solution.
Case 2: x belongs to the interval
(infinite,5/2).
-2x + 5 =
8
-2x = 8 - 5
-2x =
3
x = -3/2
Since x = -3/2
belongs to the interval (infinite,5/2), we'll accept it as
solution.
All real solutions of the given
equation are: {-3/2 ; 13/2}.
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