SOLUTION: For what value of x will the two expressions 8+x/12+x and 6+x/9+x be equal?

Algebra ->  Expressions-with-variables -> SOLUTION: For what value of x will the two expressions 8+x/12+x and 6+x/9+x be equal?      Log On


   

Question 1095738: For what value of x will the two expressions 8+x/12+x and 6+x/9+x be equal?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

The equation as you show it is
8%2Bx%2F12%2Bx+=+6%2Bx%2F9%2Bx

But I suspect the equation you want to solve is
%288%2Bx%29%2F%2812%2Bx%29+=+%286%2Bx%29%2F%289%2Bx%29

The form of the first equation is very unusual; that's why I suspect the second equation might be what was intended.

But both equations have "nice" answers; so either equation might be the intended one.

First option...

8%2Bx%2F12%2Bx+=+6%2Bx%2F9%2Bx
2+=+x%2F9+-+x%2F12+=+4x%2F36+-+3x%2F36+=+x%2F36
x+=+72

Second option...

%288%2Bx%29%2F%2812%2Bx%29+=+%286%2Bx%29%2F%289%2Bx%29
%288%2Bx%29%289%2Bx%29+=+%286%2Bx%29%2812%2Bx%29
x%5E2%2B17x%2B72+=+x%5E2%2B18x%2B72
17x+=+18x
x+=+0