E|---0---0|
B|---1---1|
G|---0---0|
D|---2---2|
A|-3------|
E|-----3--|

Repeat this for the other chords as well: pick the A, strum the 3rd thru 6th strings, pick the low E, etc.

[Verse]
C
why ive been up the chisolm trail
G                         F      C
been through death valley hot as hell
C
I rode across the dusty plains

G                     F          C
there's Cowboy runnin through my veins
C
but i aint goin down on brokeback mountain
G                                 C
no i aint goin  down on brokeback mountain
C              G
that shit aint right
G7             C
that shit aint right

C
why ive watched the herd from dusk till dawn
G                    F        C
but i did it with my britches on
C
you can have a chew you can bum a smoke
G                   F      C
but dont go reachin for my rope
C
i aint goin down on brokeback mountain
G                                C
no i aint goin down on brokeback mountain

C              G
that shit aint right
G7             C
that shit aint right
C        F
what you do is your business hoss
F                              G
you can buy me a beer but then fuck off
C
but i aint goin down on brokeback mountain
G                                C
no i aint goin down on brokeback mountain

C              G
that shit aint right
G7             C
that shit aint right
C              G
that shit aint right
G7             C
that shit aint right
C              G
that shit aint right
G7             C
that shit aint right