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Mar 13
To solve this equation, we need to first combine like terms on both sides of the equation.
6/x - 1 + 5/x + 1 = 6 - 2/x
Combine the terms with x in the denominator on the left side:
(6 + 5)/x - 1 + 1 = 6 - 2/x
11/x - 1 + 1 = 6 - 2/x
Now simplify the equation:
11/x = 6 - 2/x
Multiply both sides by x to get rid of the denominators:
11 = 6x - 2
Add 2 to both sides:
13 = 6x
Divide by 6:
x = 13/6
Therefore, the solution to the equation is x = 13/6.
6/x - 1 + 5/x + 1 = 6 - 2/x
Combine the terms with x in the denominator on the left side:
(6 + 5)/x - 1 + 1 = 6 - 2/x
11/x - 1 + 1 = 6 - 2/x
Now simplify the equation:
11/x = 6 - 2/x
Multiply both sides by x to get rid of the denominators:
11 = 6x - 2
Add 2 to both sides:
13 = 6x
Divide by 6:
x = 13/6
Therefore, the solution to the equation is x = 13/6.
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