If \[K=\frac{x-m}{x-n},\] find the value of\[x\].

• A. \[\frac{nK-m}{K-1}\]
• B. \[\frac{K-m}{K-n}\]
• C. \[\frac{K+m}{K+n}\]
• D. \[\frac{1+K}{m+nK}\]