Question 373513
{{{1/(x+4)+1/(x-4)=1/(x^2-16)}}}.
Multiply both sides by {{{x^2-16}}}, the lcd.  Then 
{{{(x^2-16)/(x+4) + (x^2 - 16)/(x-4) = 1}}},
x-4 + x+4 = 1,
2x = 1,
x = 1/2.