There isn’t a multiplication symbol though. By your logic something like 8÷2x would mean (8÷2)*x because order of operations

Or if you read 8÷2√x as (8÷2)*√x

Just notate 8÷2(2+2) as 8÷2x; x=(2+2) and you get it, you can substitute any complete expression with a variable in an equation and the logic stays the same.