SOLUTION: Solve for X. 2/3x = 1 5/7

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Question 11660: Solve for X. 2/3x = 1 5/7
Answer by glabow(165) About Me  (Show Source):
You can put this solution on YOUR website!
Express all values as fractions. Then operate on the equation to eliminate the fraction associated with x.
However, 2/3x is ambiguous. Do you mean 2 divided by 3x or do you mean 2/3 times x?
Let's assume you mean %282%2F3%29x
In this case the fraction is 2x%2F3
This makes the equation
2x%2F3=12%2F7
2x+=+36%2F7 [multiplying both sides by 3]
x+=+18%2F7 [dividing both sides by 2], or x = 2 4/7
If you mean 2%2F3x then the equation is
2%2F3x=12%2F7
2+=+36x%2F7 [multiplying both sides by 3x]
14=36x [multiplying both sides by 7]
14%2F36=x [dividing both sides by 36], or x = 7/18