Question 77367
{{{5x/(x-10)-50/(x-10)}}} 

{{{(5x-50)/(x-10)}}}Since these fractions have a common denominator, we can subtract the two fractions


{{{5(x-10)/(x-10)}}} Factor out a 5 from the numerator


{{{5cross((x-10))/cross((x-10))}}} Divide and cancel like terms

So the whole thing reduces to {{{5}}}. In other words:


{{{5x/(x-10)-50/(x-10)=5}}}