In that way the right is supported by Elon, primarily on X (7)
I believe the answer is:
thereby
'in that way' is the definition.
(synonyms)
'the right is supported by elon primarily on x' is the wordplay.
'right' becomes 'r' (abbreviation).
'is supported by' is a charade indicator (letters next to each other) (in a down clue, some letters hold up others).
'primarily' says to take the initial letters.
'on' means one lot of letters go next to another.
'x' becomes 'by' (both can mean multiplied by).
The initial letter of 'elon' is 'e'.
'the'+'r'+'e'+'by'='THEREBY'
(Other definitions for thereby that I've seen before include "For that reason" , "about that amount" , "In consequence" , "By that means" , "As a result of that" .)