Question 641575
2|5x+2|-1=5 


2|5x+2|=5+1 


2|5x+2|=6


|5x+2|=6/2


|5x+2|=3


5x+2=3 or 5x+2=-3


5x=3-2 or 5x=-3-2


5x=1 or 5x=-5


x=1/5 or x=-5/5


x=1/5 or x=-1


So the solutions are <font color="red">x=1/5 or x=-1</font>