This question comes up very often. Most people cannot quote 5 verses that promise healing, yet even non-Christians know of the Scriptures that seem to say that Jesus tried to heal people in His own hometown and couldn't, that Paul had some mysterious illness or eye problem and God told him "no" when he asked God to heal him (We will cover this in depth later), they know that Paul left somebody sick somewhere but they don't remember who or where, and they know Paul told Timothy to drink some wine because of his stomach problems. (We will cover all these things.)
First, nowhere does the Bible say that Jesus "tried and failed" to heal anyone. Actually, it says just the opposite: "and he healed them ALL." The Scripture in question here does not say," Jesus tried to heal those of His own home town, but He could not heal anyone." Even though that is what is preached many times. What it does say is: He could there do no mighty works because of their unbelief, EXCEPT he laid his hands on a few sick folk and healed them. (The ones He laid hands on WERE HEALED.) So you could say that He healed THEM ALL (All the ones He laid hands on).
The word "except" means that there were some mighty works that did occur. So what mighty works did not occur. No one got healed by touching the hem of His garment, no one came to Him and asked Him to heal their child or their servant from a distance. (refer back to the Roman Centurion and the Syrophonecian woman, both of whom Jesus said had "great faith".) So apparently no one in Nazareth got healed on their own faith but rather on the faith of Jesus.
Also, the people of Nazareth had great unbelief toward Jesus and were offended at Him. It is very likely that this hardness of heart toward the "hometown carpenter's son prophet" kept them from coming to Jesus to be healed. People that don't believe in you or are "offended" at you as they were at Jesus, don't usually come to your meetings to be healed by you therefore you cannot get them healed. But, not because they didn't have enough faith to "receive healing" but rather because they didn't have enough faith to come to you in the first place.
