\(\frac{2x + 3}{x - 4} - \frac{2x - 8}{2x + 1} = 1\)
Solve for x.
Multiply both sides by (x-4)(2x+1)
then we get (2x + 3)(2x + 1) - (2x - 8)(x - 4) = (x - 4)(2x + 1)
Simplifies to 31x - 25 = 0
so x=25/31