Question 167338

 5/4 x + 1/2 = x -1/2 
combining like terms by subtracting 'x' from both sides

     5/4x - x + 1/2 = -1/2 

        x ( 5/4 -1) +1/2 = -1/2 

             1/4x  +1/2 = -1/2           (taking LCM and simplifying we get 1/4)

        Isolating 'x' by subtracting 1/2 on both sides 
                  
                    1/4 x  = -1/2 -1/2 
                    1/4x = -2/2 = -1 
                       
                       1 x  =  -1 * 4 = -4 
                         x = -4 .