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