SOLUTION: 1/(x-3)+ 7 = x/(x-3) solve for x The answer is 10/3, how are they getting there????

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Question 23695: 1/(x-3)+ 7 = x/(x-3) solve for x
The answer is 10/3, how are they getting there????

Found 2 solutions by Earlsdon, rapaljer:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve for x:
Add the terms on the left side. Common denominator is (x-3)
Multiply both sides by (x-3) and simplify.
Subtract x from both sides.
Simplify the left side.
Add 20 to both sides.
Divide both sides by 6.
Simplify.


Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
Multiply both sides of the equation by the LCD which is (x-3)




The x-3 divides out in the first and last fractions leaving :





Add +20 to each side:



Now, subtract x from each side:



Divide by 6:


Reduce the fraction:


Check to make sure no denominators are zero. The answer is acceptable.

R^2 at SCC






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