Question 771555
<pre>
         3|-2x + 4| + 4 = 14

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

Divide both sides by 3

              |-2x + 4| = {{{10/3}}}

That would be true whether -2x + 4 = {{{10/3}}} or whether it equals {{{-10/3}}}.
So we take both cases:

      -2x + 4 = {{{10/3}}}              -2x + 4 = {{{-10/3}}}

Multiply through by 3

     -6x + 12 = 10             -6x + 12 = -10
          -6x = -2                  -6x = -22
            x = {{{2/6}}}                     x = {{{22/6}}}                  
            x = {{{1/3}}}                     x = {{{11/3}}}  

Smaller solution = {{{1/3}}}, Larger solution = {{{11/3}}}

Edwin</pre>