anonymous
  • anonymous
Solve for x: 2 over 5 (x - 4) = 2x. - The whole fraction thing really confuses me, someone walk me through this?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
First solve 5(x-4). That is 5x-20.
anonymous
  • anonymous
Next, make both sides of the equation have the same denominator. If you can do that, the denominators will just disappear. So, the denominator on the left is 5x-2, and on the right is 1. To make both sides have the same denominator, multiply the right side by (5x-20)/(5x-20).
anonymous
  • anonymous
Which gives you (on the right side) 2x(5x-20)/(5x-20).

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anonymous
  • anonymous
Drop the denominators (b/c they're equal on both sides) and you're left with 2=2x(5x-20).
anonymous
  • anonymous
In my 2nd comment, I meant 5x-20 when I said 5x-2.
anonymous
  • anonymous
@Avihirschx uh, the only answer choices I have are: -8 negative 1 over 2 1 -1
anonymous
  • anonymous
I might have messed up something. Let me do the problem over again. Give me a minute.
anonymous
  • anonymous
No, I was right. Perhaps I am confused as the how the problem looks? Is it this:\[\frac{ 2 }{ 5(x-4) }=2x\]
anonymous
  • anonymous
\[\frac{ 2 }{ 5 }(x-4)=2x\]
anonymous
  • anonymous
@Avihirschx
anonymous
  • anonymous
OK, that explains that.
anonymous
  • anonymous
This can be expressed as: 2(x-4)/5=2x. Do you understand why?
anonymous
  • anonymous
2/5(x-4)=2x 2(x-4)=2x.5 2x-8=10x 8x=-8 x=-1
anonymous
  • anonymous
Yes. That^. I was trying to explain each step :).

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