Write a function called double$\_$list $($nums$)$ that takes in a list of integers as an argument and returns a new list where each integer is multiplied by $2.$ You should use a for loop and the append $()$ method to construct the new list.

Test case:

nums $=[1,2,3,4,5]$

result $=doubl{e}_l$ist $(nums)$

result # Output: $[2,4,6,8,10]$

$[]$ # your solution