SOLUTION: x/5 - x+2/3 = 1/15 How would I solve this?

Question 458381: x/5 - x+2/3 = 1/15
How would I solve this?
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
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Start by noticing that you have denominators of 5, 3, and 15. This means that since 5 and 3 are factors of 15 you have a common denominator of 15. Therefore, to get rid of the denominators, just multiply both sides (all terms) of the equation by 15 as follows:
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Simplify slightly by multiplying 15 times 2 in the numerator of the third term on the left side and 15 times 1 in the numerator on the right side to get:
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Then in each term having a denominator, divide that denominator into its corresponding numerator and you have:
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Combine the 3x and -15x on the left side and you get:
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Get rid of the + 10 on the left side by subtracting 10 from both sides:
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Solve for x by dividing both sides of the equation by -12:
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which simplifies to:
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Hope this helps you understand how you can eliminate denominators to make problems a little easier to work with.

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