The state Medical Examining Board fined a Greenwich doctor $3,000 on Tuesday for failing to justify prescribing high doses of opioids for patients in 2015 and 2016. The board also reprimanded the license of Dr. Francis X. Walsh, placed his license on probation for six months and ordered him to take courses in medical documentation and controlled substance prescribing, a consent order he agreed to said. In prescribing the drugs in his office practice, Walsh failed to properly document that he had examined the patients and failed to justify “potentially dangerous dosing and combinations of medications,” the order said. During the probation, Walsh must hire a doctor to review his office practice. Walsh has surrendered his state registration to prescribe controlled substances in that practice, state records show.