solve (2x+3)/(x-4) - (2x-8)/(2x+1) = 1 leave answer in fraction form

times both sides by both denominators

= (2x+3)(2x+1) - (2x-8)(x-4) = (2x+1)(x-4)

times out brackets

= (4x² + 8x +3) - (2x² -16x +32) = 2x² -7x -4

simplify

= 2x² +24x -29 = 2x² -7x -4 

bring x's to one side 

= 31x = 25

solve for x

x= 25/31