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           Ashley, 
          I'm not sure if you mean  
          
            4/7x + 3 = 15 or 4/7 x + 3 = 15 
             
          I am going to assume it is the second.  4/7 x + 3 = 15. 
          You want to manipulate the equation, always maintaining an equality and end with x on the left of the equal sign and a number on the right. I would first subtract 3 from both sides. This gives 
          
            4/7 x + 3 = 15 
                4/7 x + 3 - 3 = 15 - 3   
              4/7 x  = 12 
             
          The difficulty now is the fraction o the left side so multiply both sides by 7. 
          
            4/7 x  = 12 
              7   4/7 x  = 7   12 
            4x = 84 
             
          Finally divide both sides by 4 
          
            4x = 84 
              4x/4 = 84/4 
              x = 21 
             
          I hope this helps, 
            Penny               
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