SOLUTION: What is the solution to the problem: |2x + 5| = 3x + 4

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Question 31961: What is the solution to the problem:
|2x + 5| = 3x + 4

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
|2x + 5| = 3x + 4
to solve these split it in to 2 cases ...case 1. 2x + 5 = positive
or x>-5/2 = -2.5 ...then
|2x + 5| = 2x+5=3x + 4
3x-2x=5-4...or..x=1..now check with case 1.assumption...x>-2.5..it is ok.
so x=1 is a solution.
case 2. 2x + 5 = negative ..or..x<-2.5...then
|2x + 5| = -(2x+5)= 3x + 4
-2x-5=3x+4...or.....5x=-9...or...x=-9/5=-1.8...now check with case 2.assumption..x<-2.5..it is not compatable.so this is not a solution.
so only solution is x=1