Question 135271
{{{x+(10)/(x-2)=(x^2+3x)/(x-2)}}}
{{{x(x-2)+10=x^2+3x}}}Multiply both sides by (x-2).
{{{x^2-2x+10=x^2+3x}}}Distribute.
{{{-5x+10=0}}}
{{{x=2}}}
This cannot be a solution since (x-2) is a denominator in your original equation. 
It would lead to division by zero.
There is no solution.