Question 204242
Well, your answer is correct, so you can check it by substituting x =7 into the original equation and see if the two sides are equal.
{{{(4/(x+5))+(2/(x-5)) = 32/(x+5)(x-5)}}} Substitute x = 7.
{{{(4/(7+5))+(2/(7-5)) = 32/(7+5)(7-5)}}} Evaluate.
{{{(4/12)+(2/2) = 32/(12)*(2)}}}
{{{(4/12)+(12/12) = 32/24}}} Multiply the left side by {{{2/2}}}.
{{{(8/24)+(24/24) = 32/24}}} Add the fractions on the left.
{{{32/24 = 32/24}}}