SOLUTION: 9/5x+2=7/3x+10

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Question 395819: 9/5x+2=7/3x+10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%289%2F5%29x%2B2=%287%2F3%29x%2B10 Start with the given equation.


15%28%289%2Fcross%285%29%29x%2B2%29=15%28%287%2Fcross%283%29%29x%2B10%29 Multiply both sides by the LCD 15 to clear any fractions.


27x%2B30=35x%2B150 Distribute and multiply.


27x=35x%2B150-30 Subtract 30 from both sides.


27x-35x=150-30 Subtract 35x from both sides.


-8x=150-30 Combine like terms on the left side.


-8x=120 Combine like terms on the right side.


x=%28120%29%2F%28-8%29 Divide both sides by -8 to isolate x.


x=-15 Reduce.


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Answer:

So the solution is x=-15


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Jim