Find the coefficient of the $x$ term after having expanded $$(x^2+3x+2)^5$$
Because $$(x^2+3x+2)^5=(x+1)^5(x+2)^5=(\cdots + 5x + 1)(\cdots + 5\cdot 2^4 x + 2^5)$$
therefore the answer is $$5\times 2^5 + 1\times 5\times 2^4=\boxed{240}$$