SOLUTION: 2/5X +6=1/6X-5

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Question 23673: 2/5X +6=1/6X-5
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
This is really hard to be sure what you meant. Let me take a shot at it.
2%2F%285X+%2B6%29=1%2F%286X-5%29+

If so, then remember that old rule a%2Fb=+c%2Fd means that ad=+bc.

In the same way, 2%2F%285X+%2B6%29=1%2F%286X-5%29+ means that 2%286x-5%29+=+1%285x%2B6%29
12x+-+10+=+5x%2B6
7x+=+16
x+=+16%2F7

On the other hand, the problem could be interpreted to be:
%282%2F5%29%2AX+%2B+6++=+%281%2F6%29%2AX+-+5

In this case, the LCD is 30, so multiply both sides by 30 to clear the fractions.
30%2A%282%2F5%29%2AX+%2B+30%2A6++=30%2A%281%2F6%29%2AX+-+30%2A5
12X%2B+180=+5X+-+150

Subtract 5x from each side:
12x-5x+%2B+180+=+5x-5x+-+150
7x+%2B+180+=-150
Subtract 180 from each side:
7x+%2B180+-180+=+-150-180
7x+=+-330

Divide both sides by 7:
%287x%29%2F7+=+-330%2F7
x=+-330%2F7 another UGLY answer!
R^2 at SCC