1. $\frac{1}{x-2}+\frac{1}{x-2}=\frac{1}{2}$
Solve for x: \(\boxed{x = 6}\)
Step 1 :Combine the two fractions on the left side: \(\frac{2}{x-2} = \frac{1}{2}\)
Step 2 :Solve for x: \(\boxed{x = 6}\)