SOLUTION: how to solve |4x+5|=2x+4

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Question 491488: how to solve |4x+5|=2x+4
Answer by Gogonati(809) About Me  (Show Source):
You can put this solution on YOUR website!
By the definition of absolute value:abs%284x%2B5%29=4x%2B5 if 4x+5>=0, and
abs%284x%2B5%29=-4x-5, if4x+5<0 Thus we will solve two equations:
1)If x>=-5/4 we get :4x+5=2x+4 <=>2x=-1 <=>x=-1/2.
2)If x<-5/4 we get:-4x-5=2x+4 <=>6x=-9 <=>x=-3/2.