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

Question 31961: What is the solution to the problem:
|2x + 5| = 3x + 4
Answer by venugopalramana(3286) (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
RELATED QUESTIONS
what is the answer to this problem. 2x-10+3x/4... (answered by MathPro)

What is the solution to this problem? 4 - 8x < 13 + 3x, x= 4 (answered by MathLover1)

Is -4 a solution to the equation... (answered by MathLover1)

"What is the solution to the problem (3x/4 + y)2... (answered by unlockmath)

What is the solution to this problem? 5^(x-1) =... (answered by greenestamps)

I need some help. Can anyone tell me what the solution is to this problem using... (answered by scott8148)

3x+4y=5, 2x+y=1...If a system has an infinite number of solutions, use set-builder... (answered by solver91311)

What is the answer to the following problem:... (answered by MathLover1)

what is the answer to the problem... (answered by checkley79)