Question 878839
{{{4/(3x-1)=2/(x+3)}}}


A clever way to handle (or solve) this is multiply the right side by {{{1=2/2}}}.

{{{4/(3x-1)=(2/(x+3))(2/2)}}}
{{{4/(3x-1)=4/(2(x+3))}}}
The denominators must be equal:
{{{3x-1=2(x+3)}}}
{{{3x-1=2x+6}}}
{{{3x-2x-1=6}}}
{{{x-1-6=6-6}}}
{{{x-7=0}}}