First, transform the numerator (3x-2)(x-4)-(x-4)(6-5x) = (x-4) = (x-4)*(3x+5x -2-6) = (x-4)*(8x-8). Now divide the numerator by the denominator and cancel the common factor on the way. You will get the final answer, or . Choose any of the two expressions - they are equivalent.
Divide ((3x-2)(x-4)-(x-4)(6-5x))/((4-x)(8x-1))----- Factoring out GCF, x - 4, in numerator = =