Can anyone check if this is going to turn out right

Use cauchy e-6 proof to show that lim(3x-1)=8

http://www.ocf.berkeley.edu/~yosenl/...ilon-delta.pdf

what i did was exactly what they did put switched out the numbers

i really only need this 1 problem because im doing HS calculus and the teacher assured us that this would not re occur in the course.