SOLUTION: x/5 - x+2/3 = 1/15

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Question 54333: x/5 - x+2/3 = 1/15
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Let's attack those fractions by multiplying both sides of the equation by the LCD (lowest common denominator).
In this case the LCD is 15 because it's the smallest number that 5,3, and 15 can all go into evenly.
x%2F5-x%2B2%2F3=1%2F15
15%28x%2F5-x%2B2%2F3%29=15%281%2F15%29
15x%2F5-15x%2B30%2F3=15%2F15
3x-15x%2B10=1
-12x%2B10=1
-12x%2B10-10=1-10
-12x=-9
-12x%2F-12=-9%2F-12
x=9%2F12 Reduce the top and bottom by dividing by 3.
highlight%28x=3%2F4%29
Happy Calculating!!!