Your personal interpretation does not line up with other scripture
Heb 4:15 For we do not have a high priest who is unable to sympathize with our weaknesses, but one who in every respect has been tempted as we are, yet without sin.
Just because you struggle to understand how or why does not mean it is not so. Jesus in an unglorified body was tempted as we are. He remained sinless but was tempted never the less.
You know, it's funny...rather than seek to understand the concept of impeccability, you lash out saying that I have the struggle to understand. Rather than ask questions, you accuse. Instead of seeking to understand my position, you attack that which you obviously do not understand--and you do so by quoting scripture that seems to advance your position while ignoring the scripture that I previously posted. This is all rather small on your part.
Let me further explain what is going on in the concept of Jesus' impeccability.
We have the verse I posted:
James 1:13: Let no one say when he is tempted, “I am being tempted by God,” for God cannot be tempted with evil, and he himself tempts no one.
We have the verse you posted:
Heb 4:15 For we do not have a high priest who is unable to sympathize with our weaknesses, but one who in every respect has been tempted as we are, yet without sin.
By discounting the James passage, you are not doing justice to the entire biblical record and you are not seeking to employ a whole-Bible theology.
These verses are
not at odds. The Bible does not contradict itself. Therefore, these verses must be complimentary, not contradictory.
Since these verses must compliment each other, it must be the case that Jesus was actually tempted and the temptations were real (Heb 4:15). But it must also be the case that Jesus, being God, was absolutely impervious to these temptations (James 1:13). His impeccability does not, in any way, diminish the temptations.
Furthermore, it would seem that you forget what Jesus says in Matthew 15:
[18] But what comes out of the mouth proceeds from the heart, and this defiles a person. [19] For out of the heart come evil thoughts, murder, adultery, sexual immorality, theft, false witness, slander.
[20] These are what defile a person. But to eat with unwashed hands does not defile anyone.”
What this shows us is that temptation is not, ultimately, from without, but from within. So, when we are tempted by Satan, he is only tempting us to act upon what is inherently within us as fallen, sinful human beings.
So, the sinful actions of any person are not because "the devil made me do it." Instead, the sinful actions of any person proceed from a sinful heart. Satan may, at times, coax out that which is internal, but he does not create the sin which comes out of us.
There is absolutely no chance Jesus could have sinned because He had no sinful heart. The devil couldn't make Him do anything sinful because there was no sin inside Him.
Satan tempted Jesus with the same thing that Adam was tempted with--rebellion (which is, actually, the root of all our sin). Jesus, being God, could not rebel against Himself. He had to--impeccably--follow God's will.
The temptation, though real, could have no effect.
Blessings,
The Archangel