SOLUTION: (3x+4)/5 + 6/5 = -5x/6 I tried to get a common denominator by making it 30, but there is no answer with a 30 as a denominator.

Algebra ->  Equations -> SOLUTION: (3x+4)/5 + 6/5 = -5x/6 I tried to get a common denominator by making it 30, but there is no answer with a 30 as a denominator.       Log On


   

Question 692124: (3x+4)/5 + 6/5 = -5x/6
I tried to get a common denominator by making it 30, but there is no answer with a 30 as a denominator.
Answer by ReadingBoosters(3246) About Me  (Show Source):
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(3x+4)/5 + 6/5 = -5x/6
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You could use the common denominator of 30 to remove the fractions and solve this like:
30%28%283x%2B4%29%2F5%29+%2B+30%286%2F5%29+=+30%28-5x%2F6%29
6(3x+4) + 36 = -25x ==> distribute the 6
18x + 24 + 36 = -25x
60 = -25x - 18x
60= -43x
x = 60%2F-43+=+highlight_green%28-60%2F43%29 = -117%2F43
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You could add the left side of the equation since they have a common denominator of 5, then cross multiply like:
%283x%2B4%29%2F5+%2B+6%2F5+=+%283x%2B4%2B6%29%2F5+=+%283x%2B10%29%2F5
then
%283x%2B10%29%2F5+=+-5x%2F6, so
6(3x+10) = 5(-5x)
18x+60 = -25x
60 = -25x - 18x
60 = -43x
x = -60%2F43
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