{{{x= (2(x+3))/(x+5)}}}
<pre><font size = 4 color = "indigo"><b>
Clear of fractions by multiplying both sides by {{{(x+5)}}}

{{{x*(x+5)= (2(x+3))/(x+5)}}}{{{""*(x+5)}}}

{{{x*(x+5)= (2(x+3))/cross((x+5))}}}{{{""*cross((x+5))}}}

{{{x*(x+5)=2(x+3)}}}

{{{x^2+5x=2x+6}}}

Get {{{0}}} on the right:

{{{x^2+3x-6=0}}}

{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}

with {{{a=1}}}, {{{b=3}}}, and {{{c=-6}}}

{{{x = (-(3) +- sqrt( (3)^2-4*(1)*(-6) ))/(2*(1)) }}}

{{{x = (-3 +- sqrt( 9+24))/2 }}}

{{{x = (-3 +- sqrt(33))/2 }}}

Edwin</pre>