SOLUTION: solve with showing work?3/5 k + 17 = 8/5 k

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Question 528612: solve with showing work?3/5 k + 17 = 8/5 k
Answer by Maths68(1474) About Me  (Show Source):
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%283%2F5%29k+%2B+17+=+%288%2F5%29k
%283k%2F5%29+%2B+17+=+%288k%2F5%29
%283k%2F5%29+-+%288k%2F5%29=-17
Take LCD
%283k-8k%29%2F5=-17
-5k%2F5=-17
-cross%285%29k%2Fcross%285%29=-17
-k=-17
Multiply by (-1) both sides
-k%28-1%29=-17%28-1%29
k=17

Check
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%283%2F5%29k+%2B+17+=+%288%2F5%29k
%283%2F5%29%2817%29+%2B+17+=+%288%2F5%29%2817%29
%2851%2F5%29+%2B+17+=+136%2F5
%2851%2B85%29%2F5+=+136%2F5
136%2F5+=+136%2F5