When you are giving cure by your touch, healing power is coming from your hands. That power comes from God. It was like that in most cases that Jesus healed sick people when he was here.

But Jesus said: "Somebody touched Me, for I perceived power going out from Me."
Luke 8:46

Many other examples of this is mentioned in the gospels. If we should do God's deeds, as he has told us to do, we should do as Jesus did.

And when He had come into the house, His disciples asked Him privately: "Why could we not cast it out?" So He said to them."This kind can come out by nothing but prayer and fasting."
Mark 9:28-29

In the bible quotation above it is mentioned exorcism of an evil spirit (from a mentally ill boy) by prayer and fasting. Nowhere in the bible is mentioned that prayer of healing and giving cure by your touch would be the same, that is, two ways of expressing the same thing. On the contrary, Acts 28:8 tells us that Paul went to the father of Publius and prayed and laid his hands on him and healed him. That is, he "prayed" and he "laid his hands on him and healed him", in that order. Not dividing, because it seems consistent, the last action (in it also an "and" is included), depends on the correspondence with the quotation above.

"And these signs will follow those who believe: in My name they will cast out demons; they will speak with new tongues; they will take up serpents; and if they drink anything deadly, it will by no means hurt them; they will lay hands on the sick, and they will recover."
Mark 16:17-18.

Prayer and imposition of hands are two different things. Prayer is communication with God. Laying hands on sick and make them healed is mediating God's power with one's hands to the sick. You usually say that you "pray for sick", and mean that you lay your hands on them and pray. But notice that in the quotation above prayer is not mentioned. With the common conception confusion it is obviously a difference between "praying" for sick people and "praying for sick people". They say "praying", when they mean "laying hands on", accompanied by prayer. You can do both at the same time though, but you should be aware of what you are doing.

Jesus also promised that we will do greater things than what he did, according to the verse below.

"Most assuredly, I say to you, he who beleives in Me, the works that I do he will do also; and greater works than these he will do, because I go to My Father."
John 14:12

Mikael Lillieros