Question

3/(x-2)+ 1/2=x/x-2

Answer 1

\[ \frac{3}{x-2}+\frac{1}{2}=\frac{x}{x-2}\]
\[\frac{3(2)+1(x-2)}{2(x-2)}=\frac{x}{x-2}\]
\[6+x-2=\frac{x(2)\cancel{(x-2)}}{\cancel{(x-2)}}\]
\[4+x=2x\]
\[x=4\]

Answer 2

thanks i really appriecate your help...i see where im going wrong.