SOLUTION: what is the solution for this equation? |2X-3|=5

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Question 13757: what is the solution for this equation?
|2X-3|=5
Answer by rahman(247) About Me  (Show Source):
You can put this solution on YOUR website!
|2X-3|=5
(i) |2x-3| = 2x - 3; where 2x-3%3E=0 or x%3E=3%2F2
(ii) |2x-3| = -(2x - 3); where 2x-3%3C0 or x%3C3%2F2
case (i):
|2X-3|=5 ==========> 2x - 3; where 2x-3%3E=0 or x%3E=3%2F2
2x-3=5
2x=5+3
2x=8
x=4
Solution for this case is x = 4
case (ii):
|2X-3|=5 ==========> -(2x - 3); where 2x-3%3C0 or x%3C3%2F2
-(2x - 3)=5
-2x+3=5
-2x=5-3
-2x=2
%28-2x%29%2F%28-2%29=2%2F-2
x=-1
Solution for this case is x = -1
So, we get the solution for this equation are x = -1 or x = 4.
OK