Julia is analyzing the profits from her small business. In a certain month, her profit, $$ P $$, can be modeled by the equation:
$$ P = 5x - 200 $$
where $$ x $$ represents the number of items sold. Julia finds that her profit is expected to be $0 in a certain month. Determine the number of items, $$ x $$, that must be sold for her profit to reach $0.