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Hint: Cross Mulitply

cross multiply

ok

Here we can do it by another simple method..

You mean a method other than cross multiplication?

Yes..

So how will your method be "simpler"?

Can i show you??

I can see that the fraction will be reduced to 4x = -4/3

But now you still have to cross multiply. Doing anything else will just produce more steps.

err, I mean the fraction will be reduced to 4/x = -4/3 typo above

Yes:
\[\frac{4}{x} = \frac{-4}{3} \implies \frac{4}{x} = \frac{4}{-3} \implies x = -3\]

Oh, I see what you did. Yeah, in that case, I guess you don't need to cross multiply. Nice trick.

That is what I am trying to say..

That's why the real first step is to actually simplify whenever possible

Yes...

Usually when I see a proportion, my first impulse is to cross multiply

Ha ha ha..

You are of course saying it mathematically but I am saying it logically...

What do you call that? The Denominator Equivalency Property?

Ha ha ha..
You can call that what you like..

Or perhaps the Denominator Equality Property

I like it. :)