|x+4| = |2x-7|

Make two equations without absolute value bars:

1.  For the first equation, you just replace the
    absolute bars by parentheses: 

    
    
    
    

2.  For the second equation, you just replace the
    absolute bars by parentheses, but you put a negative
    sign in front of one of the parentheses, it doesn't
    matter which, as you'll get the same answer: 

    
    
    
      
     
So the two solutions are 11 and 1.

Edwin