Question 1015909
Multiply both sides by {{{(x+3)(x-3)}}}.
{{{(2x-5)(x+3)-2(x+3)(x-3)=3(x-3)}}}
{{{2x^2+6x-5x-15-2(x^2-9)=3x-9}}}
{{{2x^2+x-15-2x^2+18=3x-9}}}
{{{x+3=3x-9}}}
{{{-2x=-12}}}
{{{x=6}}}
Verifying,
{{{(2(6)-5)/(6-3)-2=3/(6+3)}}}
{{{(12-5)/3-3=3/9}}}
{{{7/3-6/3=1/3}}}
{{{1/3=1/3}}}
True, good solution.