SOLUTION: Solve for x in the equation: 1/x-1/3x-1/2x=6/x+1 I desperately need help, especially with details on how to solve. I started by trying to find a common denominator, but I am st

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve for x in the equation: 1/x-1/3x-1/2x=6/x+1 I desperately need help, especially with details on how to solve. I started by trying to find a common denominator, but I am st      Log On


   

Question 988776: Solve for x in the equation:
1/x-1/3x-1/2x=6/x+1
I desperately need help, especially with details on how to solve. I started by trying to find a common denominator, but I am stuck.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming you mean exactly as written, the equation would look like this if properly rendered:
1%2Fx-1%2F3x-1%2F2x=6%2Fx%2B1

The denominators found are: x, 3x, 2x, x.
Some ambiguity is possible but I am guessing those x are part of the denominators. Without explaining, the lowest or simplest common denominator is 6x.

Multiply the left and right members by 6x in order to begin simplifying and to solve the equation. If you are still stuck, say so.

---
Your actual equation in PURE TEXT needs to be 1/x-1/(3x)-1/(2x)=6/(x+1).
Rendering tags triple left and triple right curly brackets will give the
more expected appearance,
1%2Fx-1%2F%283x%29-1%2F%282x%29=6%2F%28x%2B1%29.

Now, the denominators are
x
3x
2x
x+1
-
The simplest COMMON denominator is 6x%28x%2B1%29 which you should use in this factored form.

Solving with the steps as described earlier,
%281%2Fx-1%2F%283x%29-1%2F%282x%29%296x%28x%2B1%29=%286%2F%28x%2B1%29%296x%28x%2B1%29----multiply both sides by 6x(x+1)
6%28x%2B1%29-2%28x%2B1%29-3%28x%2B1%29=6%2A6x------Left-side member results from Distributive Property
6x%2B6-2x-2-3x-3=36x------Distributive Property again
6x-2x-3x%2B6-2-3=36x-------equivalent to commutative property for addition
x%2B1=36x
1=35x
highlight%28x=1%2F35%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve for x in the equation:
1/x-1/3x-1/2x=6/x+1
I desperately need help, especially with details on how to solve. I started by trying to find a common denominator, but I am stuck.
highlight_green%28Too_ambiguous%29!!

I'm not going to even try to guess what you meant. To get the correct answer repost using PARENTHESES