Help me understand solving x in denominator (very basic)

Mar 2013
1
0
australia
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
16
4
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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