SOLUTION: simplify and reduce: 6/x-5-1/3x-15+4/5-x I did it and got: -5/(3)(-1)(x-5)

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: simplify and reduce: 6/x-5-1/3x-15+4/5-x I did it and got: -5/(3)(-1)(x-5)       Log On

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Question 56056: simplify and reduce:
6/x-5-1/3x-15+4/5-x
I did it and got:
-5/(3)(-1)(x-5)

Answer by Cintchr(475) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming that your problem looks like this ....
+6%2F%28x-5%29+-1%2F%283x-15%29+%2B4%2F%285-x%29+
factor out a -1 from the denom of the 3rd fraction
+6%2F%28x-5%29+-1%2F%283x-15%29+%2B4%2F-1%28x-5%29+
factor out a 3 from the denom. of the 2nd fraction
+6%2F%28x-5%29+-1%2F3%28x-5%29+%2B4%2F-1%28x-5%29+
Multiply the 1st and 3rd fraction by 3/3
+6%283%29%2F%283%29%28x-5%29+-1%2F3%28x-5%29+%2B4%283%29%2F-1%283%29%28x-5%29+
find the numerators, remeber that the - in the denominator changes the fraction to a negative
+18%2F3%28x-5%29+-1%2F3%28x-5%29+-12%2F3%28x-5%29+
combine into one fraction
+%2818+-1+-12%29%2F+3%28x-5%29+
work the numerator
+3%2F3%28x-5%29+
reduce
+1%2F%28x-5%29+