SOLUTION: i'm stumped i tried to by making the tops the same but that didn't go anywhere so i made the bottoms the same and that still didn't get me anywhere. {{{ (x+1)/2x = (x-1)/(2x-1) }}

Algebra ->  Equations -> SOLUTION: i'm stumped i tried to by making the tops the same but that didn't go anywhere so i made the bottoms the same and that still didn't get me anywhere. {{{ (x+1)/2x = (x-1)/(2x-1) }}      Log On


   

Question 189474: i'm stumped i tried to by making the tops the same but that didn't go anywhere so i made the bottoms the same and that still didn't get me anywhere.
+%28x%2B1%29%2F2x+=+%28x-1%29%2F%282x-1%29+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x%2B1%29%2F%282x%29+=+%28x-1%29%2F%282x-1%29+ Start with the given equation


+%28x%2B1%29%282x-1%29+=+2x%28x-1%29+ Cross multiply


+%28x%2B1%29%282x-1%29+=+2x%5E2-2x+ Distribute


+2x%5E2-x%2B2x-1+=+2x%5E2-2x+ FOIL


+2x%5E2-x%2B2x-1+-+2x%5E2+%2B+2x+=0+ Get everything to the left side


+3x-1+=0+ Combine like terms.


+3x=1+ Add 1 to both sides


+x=1%2F3+ Divide both sides by 3 to isolate "x"


So the solution is x=1%2F3 which in decimal form is which approximates to