SOLUTION: 1/3(x/5+3)+7/25=14/15

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Question 149937: 1/3(x/5+3)+7/25=14/15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F3%29%28x%2F5%2B3%29%2B7%2F25=14%2F15 Start with the given equation.


%281%2F15%29x%2B1%2B7%2F25=14%2F15 Distribute.


75%28%281%2Fcross%2815%29%29x%2B1%2B7%2Fcross%2825%29%29=75%2814%2Fcross%2815%29%29 Multiply both sides by the LCD 75 to clear any fractions.


5x%2B75%2B21=70 Distribute and multiply.


5x%2B96=70 Combine like terms on the left side.


5x=70-96 Subtract 96 from both sides.


5x=-26 Combine like terms on the right side.


x=%28-26%29%2F%285%29 Divide both sides by 5 to isolate x.


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Answer:

So the answer is x=-26%2F5


Which approximates to x=-5.2