Kommentar zu Bamidbar 22:7

וקסמים בידם AND DIVINATIONS WERE IN THEIR HANDS — all kinds of divination, in order that he should not say, “I have not got my tools with me”. — Another explanation is: this omen (קסם) the elders of Midyan took with them: — they said, “If he comes with us this time, there is something substantial in him, but if he puts us off there is no use of him”. — Consequently when he told them, “Stay here tonight”, they said, There is no hope in him”; they left him and went away, as it is said, (v. 8) And the princes of Moab stayed with Balaam”, but the princes of Midyan went away (Midrash Tanchuma, Balak 5).

וקסמים בידם, the instruments by means of which to perform sorcery.. Bileam’s specific expertise in such sorcery was to calculate precisely when certain constellations would be favourable to what he planned to achieve. He is described as a sorcerer when his death his reported in Joshua 13,22.

וקסמים בידו, they brought along charms of their own to forestall Bileam saying that he did not have any of these charms handy. We read in Ezekiel 21, 27-28: “in his right hand the קסם, sorcery, indicated Jerusalem, to appoint commanders to urge on to murder. But it was for them as a vain divination, קסם שוא, etc.”