Context!! you do not see the big picture and pick the verses you need here id the whole story about acts 15:10-11;
The Jerusalem Council
Act 15:1 Then some men came down from Judea and were teaching the brothers, “
Unless you are circumcised according to the custom of Moses, you cannot be saved.”
Act 15:2 And after engaging these men in sharp debate, Paul and Barnabas were appointed, along with some other believers, to go up to Jerusalem to see the apostles and elders about this question.
Act 15:3 Sent on their way by the church, they passed through Phoenicia and Samaria, recounting the conversion of the Gentiles and bringing great joy to all the brothers.
Act 15:4 On their arrival in Jerusalem, they were welcomed by the church and apostles and elders, to whom they reported all that God had done through them.
Act 15:5 But some believers from the party of the Pharisees stood up and declared, “The Gentiles must be circumcised and required to obey the law of Moses.”
Act 15:6 So the apostles and elders met to look into this matter.
Act 15:7 After much discussion, Peter got up and said to them, “Brothers, you know that in the early days God made a choice among you that the Gentiles would hear from my lips the message of the gospel and believe.
Act 15:8 And God, who knows the heart, showed His approval by giving the Holy Spirit to them, just as He did to us.
Act 15:9 He made no distinction between us and them, for He cleansed their hearts by faith.
Act 15:10 Now then, why do you test God by placing on the necks of the disciples a yoke that neither we nor our fathers have been able to bear?
Act 15:11 On the contrary, we believe it is through the grace of the Lord Jesus that we are saved, just as they are.”
the context is clear! circumcision not the rest of the law but people use verse 10 and 11 to push their point, this is dishonest and leads other to err.
Act 15:12 The whole assembly fell silent as they listened to Barnabas and Paul describing the signs and wonders God had done among the Gentiles through them.
Act 15:13 When they had finished speaking, James declared, “Brothers, listen to me!
Act 15:14 Simon has told us how God first visited the Gentiles to take from them a people to be His own.
Act 15:15 The words of the prophets agree with this, as it is written:
Act 15:16 ‘After this I will return and rebuild the fallen tent of David. Its ruins I will rebuild, and I will restore it,
Act 15:17 so that the remnant of men may seek the Lord, and all the Gentiles who are called by My name, says the Lord who does these things
Act 15:18 that have been known for ages.’
Act 15:19 It is my judgment, therefore, that we should not cause trouble for the Gentiles who are turning to God.
Act 15:20 Instead, we should write and tell them to abstain from food polluted by idols, from sexual immorality, from the meat of strangled animals, and from blood.
Act 15:21 For Moses has been proclaimed in every city from ancient times and is read in the synagogues on every Sabbath.”