Among the teachings of Jesus to his disciples was that he is the Son of God. That was what all his followers learned from his Master. They could call him Lord, Owner, Master, Savior, etc, but they never made the Son of God into a god-son.
In his gospel John said:
John 20:30 To be sure, Jesus also performed many other signs before the disciples, which are not written down in this scroll. 31 But these have been written down so that you may believe that Jesus is the Christ, the Son of God, and because of believing, you may have life by means of his name.
... and again in his first epistle:
1 John 4:15 Whoever acknowledges that Jesus is God’s Son, God remains in union with such one and he in union with God.
Paul said:
Heb. 13:8 Jesus Christ is the same yesterday and today, and forever.
If Jesus never spoke of a "god-son", no disciple later taught it, and furthermore we are told that Jesus continued to be the same, then the doctrine of a GOD-SON is totally foreign to Scripture.
Why did the Jews accuse Jesus of trying to make himself a god when he said that he was the Son of God?
Consider what happened to Paul and Barnabas at Lystra:
Acts 14:8 Now in Lysʹtra there was a man sitting down whose feet were crippled. He was lame from birth and had never walked. 9 This man was listening to Paul as he was speaking. Paul, looking intently at him and seeing that he had faith to be made well, 10 said with a loud voice: “Stand up on your feet.” So the man leaped up and began walking. 11 When the crowds saw what Paul had done, they cried out in the Lyc·a·oʹni·an language: “The gods have become like humans and have come down to us!” 12 And they started calling Barʹna·bas Zeus, but Paul Herʹmes, since he was taking the lead in speaking. 13 And the priest of Zeus, whose temple was at the entrance of the city, brought bulls and garlands to the gates and wanted to offer sacrifices with the crowds.
14 However, when the apostles Barʹna·bas and Paul heard of it, they ripped their garments and leaped out into the crowd and cried out: 15 “Men, why are you doing these things? We too are humans having the same infirmities as you have. And we are declaring the good news to you, for you to turn from these vain things to the living God, who made the heaven and the earth and the sea and all the things in them. 16 In past generations he permitted all the nations to go on in their ways, 17 although he did not leave himself without witness in that he did good, giving you rains from heaven and fruitful seasons, satisfying you with food and filling your hearts with gladness.” 18 And yet despite saying these things, they barely restrained the crowds from sacrificing to them.
19 But Jews arrived from Antioch and I·coʹni·um and persuaded the crowds, and they stoned Paul and dragged him outside the city, imagining that he was dead.
Perhaps if we take into account that what today we call Greek "mythology" was for the inhabitants of the former greek empire an important part of their religion (even their philosophy) and that thought was embedded within the Roman empire, we could understand why Jews accused Jesus of trying to make himself a god when he said that he was the Son of God. The Greeks had a vast pantheon of human demigods who were supposedly the children of non-human Olympian gods with human women. Perhaps the Jews believed that Jesus was posing as one of those demigods? Should we assume that Jesus was comparing himself to those Greek demigods, or was it just a Jewish slander like so many others?
In fact, if Jesus had compared himself to Jehovah as his equal to him, that YES would have been blasphemous from the Jewish point of view. Modern Trinitarians consider that Jewish accusation to be true, so they assume that Jesus was a blasphemer.