What does John 5:15-16 mean?

15 The man departed, and told the Jews that it was Jesus, which had made him whole. 16 And therefore did the Jews persecute Jesus, and sought to slay him, because he had done these things on the sabbath day. (John 5:15-16 KJV)

William Burkitt’s Commentary

After the man understood who his healer and benefactor was, he went and told the Jewish magistrates that it was Christ that had healed him. This he did, not with any evil design, no doubt, to inform against him, and stir up the Jews to persecute him; but desirous to publish what Christ had done, to his honour, and to direct others to make use of him.

Learn thence, That it is the duty of all those that have experienced the power and pity of Christ themselves, to proclaim and publish it to others, to the intent that all that need him may experience help and healing from him. This seems to be the poor man’s design: but behold the blindness, obstinacy, and malice of the Jews, who persecuted Christ, and sought to kill him for doing good, and healing a cripple that had been thirty-eight years so: Therefore did the Jews persecute Jesus, and sought to slay him:

Yet observe the cloak and pretence they have for their malicious persecution of our Saviour; namely, the supposed violation of the sabbath-day; They sought to slay him, because he had done these things on the sabbath-day.

Learn hence, That great cruelty against Christ and his members has always been, and still is, masked and disguised with a fair pretence of zeal for God and his commands. The Pharisees mortally hated our Saviour, therefore to cover their malice, they traduce him as a profaner of the Sabbath, and seek to take away his life.