Help me understand solving x in denominator (very basic)

Mar 2013
Hi I'm new to the boards and wondering if anyone can help me wrap my head around the steps it takes to solve this basic question, I believe I have it right but I just want to be sure I haven't just stumbled upon a pattern to solve this question.

1/x+2 = 5

So you could say 1 = 5(x+2) = 5x + 10
x = -9/5?
Is this correct? Since I've found -9 by solving, what number +10 would equal 1?
Last edited:
Feb 2013
Santiago, Chile
there's something that's not clear for me with 1/x+2 or 1/(x+2)

I think you're trying to mean:

\(\displaystyle \dfrac{1}{x+2}=5\) you're solving is correct

But if you're trying to mean:

\(\displaystyle \dfrac{1}{x}+2=5\) no
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