Question 846547
Multiply both sides by (x-1)(x+3).
{{{2(x-1)^2-7(x+3)^2=5(x-1)(x+3)}}}
{{{2(x^2-2x+1)-7(x^2+6x+9)=5(x^2+2x-3)}}}
{{{2x^2-4x+2-7x^2-42x-63=5x^2+10x-15}}}
{{{-5x^2-46x-61=5x^2+10x-15}}}
{{{-10x^2-56x-46=0}}}
{{{5x^2+28x+23=0}}}
{{{(5x+1)(5x+23)=0}}}
Two solutions:
{{{x+1=0}}}
{{{x=-1}}}
{{{x=-1}}}
and
{{{5x+23=0}}}
{{{5x=-23}}}
{{{x=-23/5}}}