Expanding the left side of the equation:

(2x+1)(3-4x)-(8x-1)(3-x)
= 6 - 8x + 3 - 4x - 24x + 4 - 3 + x
= 6 - 8x + 3 - 4x - 24x + 4 - 3 + x
= 6 + 3 + 4 - 3 - 8x - 4x - 24x + x
= 13 - 35x

Therefore, the equation simplifies to:

13 - 35x = 2 + x

Now, solve for x:

13 - 35x = 2 + x
11 = 36x
x = 11/36

Therefore, the solution to the equation is x = 11/36.