Answer:
[tex]\large\boxed{x=2m+2n+2}[/tex]
Step-by-step explanation:
[tex]\dfrac{x-2}{2}=m+n\qquad\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup^1\cdot\dfrac{x-2}{2\!\!\!\!\diagup_1}=2m+2n\\\\x-2=2m+2n\qquad\text{add 2 to both sides}\\\\x=2m+2n+2[/tex]