SOLUTION: can someone please help me solve this problem ablolute value thank you Solve 3|-2x + 4| + 4 = 14 Smaller answer (reduced fraction): Larger answer (reduced fraction)

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Question 771555: can someone please help me solve this problem ablolute value thank you
Solve 3|-2x + 4| + 4 = 14
Smaller answer (reduced fraction):
Larger answer (reduced fraction)

Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
         3|-2x + 4| + 4 = 14

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

Divide both sides by 3

              |-2x + 4| = 10%2F3

That would be true whether -2x + 4 = 10%2F3 or whether it equals -10%2F3.
So we take both cases:

      -2x + 4 = 10%2F3              -2x + 4 = -10%2F3

Multiply through by 3

     -6x + 12 = 10             -6x + 12 = -10
          -6x = -2                  -6x = -22
            x = 2%2F6                     x = 22%2F6                  
            x = 1%2F3                     x = 11%2F3  

Smaller solution = 1%2F3, Larger solution = 11%2F3

Edwin