I'm not completely sure how to do this as I han't covered it :P
but here's some aid:
from that we get: (I'm not entirely sure)
1^x + 1^x + 6^x + 12^x = 32 (by adding/subtracting in the fractions)
and 1^anything is always 1
so
1 + 1 + 6^x + 12^x = 32
2 + 6^x + 12^x = 32
6^x + 12^x = 30
and that's all I've gotten up to since I haven't done this before
hope someoone else can help and please correct me if I've done anything wrong