New move to eliminate carbon has broad following across the country (10)
I believe the answer is:
nationwide
'across the country' is the definition.
(synonyms)
'new move to eliminate carbon has broad' is the wordplay.
I cannot quite see how this works, but
'new' could be 'n' (common abbreviation eg NT for New Testament) and 'n' is found in the answer.
'broad' could be 'wide' (synonyms) and 'wide' is present in the answer.
This may be the basis of the clue (or it may be nonsense).
'following' acts as a link.
(Other definitions for nationwide that I've seen before include "for all of us" , "Across the whole country" .)