3|-2x + 4| + 4 = 14

          
        
Subtract 4 from both sides
             3|-2x + 4| = 10
             

Divide both sides by 3

              |-2x + 4| = 

That would be true whether -2x + 4 =  or whether it equals .
So we take both cases:

      -2x + 4 =               -2x + 4 = 

Multiply through by 3

     -6x + 12 = 10             -6x + 12 = -10
          -6x = -2                  -6x = -22
            x =                      x =                   
            x =                      x =   

Smaller solution = , Larger solution = 

Edwin