SOLUTION: Please solve the equation and check the answer. 3/8x-1/3x+6=1/6x

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Question 515371: Please solve the equation and check the answer.
3/8x-1/3x+6=1/6x
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
I think your equation is:
+%283%2F8%29x-%281%2F3%29x%2B6=%281%2F6%29x+
.
The multiples of 3 are: 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30...
The multiples of 8 are: 0, 8, 16, 24, 32, 40...
The least common multiple of 8 * 3 is 24.
.
+%289%2F24%29x-%288%2F24%29x%2B6=%281%2F6%29x+
.
+%281%2F24%29x+%2B+6+=+%281%2F6%29+x+
.
+%281%2F24%29x+-+%281%2F6%29x+=+-6+
.
Again the LCM is 24
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+%281%2F24%29x+-+%284%2F24%29x+=+-6+
.
+%28-3%2F24%29x+=+-6+
.
cross multiply
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+-3x+=+-6%2A24+
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+x+=+%28-6%2A24%29+%2F+-3+=+2%2A24+=+48+
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+x+=+48+
.
Check
.
+%283%2F8%29%2A48+-+%281%2F3%29%2A48+%2B+6+=+%281%2F6%29%2A48+
.
+18+-+16+%2B+6+=+8+
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+%281%2F6%29%2A48+=+8+
.
Correct.
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Answer: x=48.
.
Done.