Question 555483
Solve:
{{{1/(x-3)+2/(x+3) = (-5x)/(x^2-9)}}} Add the fractions on the left.  The LCD is {{{(x-3)(x+3)}}}
{{{((x+3)+2(x-3))/(x+3)(x-3) = (-5x)/(x^2-9)}}} Simplify the numerator and denominator on the left side.
{{{(3x-3)/(x^2-9) = (-5x)/(x^2-9)}}} Multiply both sides by {{{x^2-9}}}
{{{3x-3 = -5x}}} Add 5x to both sides.
{{{8x-3 = 0}}} Add 3 to both sides.
{{{8x = 3}}} Finally, divide both sides by 8.
{{{x = 3/8}}}