Did Jesus face every kind of temptation that we face?
Yes. The context states that Jesus told Paul He had tasted every temptation as is common to man. The three areas—lust of the eye, pride of life, and lust of the flesh—are the same temptations mankind faces, and they appear in the Matthew temptations. So He faced every kind we face.
Les explains that the three areas of temptation—the lust of the eye, the pride of life, and the lust of the flesh—are the same areas mankind is still confronted with. He points out that when Jesus told Paul He had tasted every temptation as was common to man, we see those temptations in the Matthew account. In Eve's case, the fruit was good for food, pleasant to the eye, and desired to make one wise, illustrating these three categories. Thus Jesus faced every kind of temptation we face.