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Ok, so I finally found some time to track down my old Algebra textbook (imagine that, I actually did study something higher than 3rd grade math!):

View attachment 502323
And the very first chapter was about the “Order of Operations”!

Take a look at this practice exercise (most notably “Problem 1d.”):

View attachment 502324
Now,

*if* the answer is “1” for the expression 6÷2(1+2)=x being debated in this thread, then calculating the difference should look something like this, right?:

View attachment 502326
Therefore, according to the group that supports the “1”, answer, the expression 24÷6x2 should also look something like this (with the solution being “2”, right?):

View attachment 502328
But when checking the answer in the back of the book, the correct answer for Exercise 1-4 Problem 1d. is “

8”:

View attachment 502330
So, clearly, the equation is actually more like this:

View attachment 502336
or

View attachment 502337
Which obviously coincides more with the expression on the right than the expression on the left shown here:

View attachment 502348
So, it appears that there is actually a precedence for 6÷2(1+2) to equal “9”.

And before someone brings up “distributive properties”, that appears to have no relevance here either, since 6÷2(1+2)=(6÷2)x(1+2) making (6÷2) separate from (1+2) using modern Algebra.

I will state that the examples in this Algebra textbook do not show the exact equation being debated in this thread, so I can well imagine that the “1” camp will probably use that to punch holes in this example, but it does at least support the notion that not everything following a division symbol is necessarily the denominator in a fraction...

...so take that for what it’s worth...

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