Question 314307
{{{(5x)/(x-1) - 2 = 14/(x^2-1)}}}
{{{5x/(x-1)-2=14/((x-1)(x+1))}}}
Use the common denominator ((x-1)(x+1))
{{{(5x)/(x-1) - 2 = 14/(x^2-1)}}}
{{{(5x/(x-1))*((x+1)/(x+1))-(2(x+1)(x-1))/((x+1)(x-1))=14/((x-1)(x+1))}}}

{{{5x(x+1)-2(x^2-1)=14}}}
{{{5x^2+5x-2x^2+2=14}}}
{{{3x^2+5x-12=0}}}
{{{(3x-4)(x+3)=0}}}
Two solutions:
{{{3x-4=0}}}
{{{3x=4}}}
{{{x=4/3}}}
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{{{x+3=0}}}
{{{x=-3}}}