The coefficient in front of the x^5 term in (x+2)^7 is:

a. 21

b. 7

c. 42

d. 84

I know the answer is d. However, to aquire this answer I had to literally FOIL the entire thing. I took it to (x^4+ 8x^3+24x^2+32x+16)(x^3+6x^2+12x+8) before i knew how to tell what the answer was. Is there some shortcut to know what the coefficient in front of the x^n term is in a basic expression like this?