Question 307556
Do you mean "rational equation"???  


The LCD for this is 2x, so multiply both sides by 2x:
{{{2x*(5/2x)-2x*(4/x)=2x(-3)}}}
{{{5-8=-6x}}}
{{{-3=-6x}}}


Divide both sides by -6
{{{(-3)/(-6)=(-6x)/(-6)}}}

{{{1/2=x}}}


Dr. Robert J. Rapalje, Retired