What is the solution to the rational equation x over 2x minus 1 plus 1 over 4 equals 2 over 2x minus 1 ?

Question

jhonyy9 · Answer

x          1             2
----- + ---- = -------  so the common denominator will be 4(2x-1)
2x-1         4        2x -1

  4x +2x-1              8
----------- = ---------
    4(2x-1)          4(2x-1)

     6x-1                 8
---------- = --------    make the restriction for x so 2x-1 =0 ,result x=1/2 
 4(2x-1)           4(2x-1)          so what mean that x not can being equal 1/2

 6x-1=8

  6x = 9

   x= 9/6 

    x = 3/2