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

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Question 211580This question is from textbook introductory algerbra
: 2/5x+1=1/3+x This question is from textbook introductory algerbra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282%2F5%29x%2B1=1%2F3%2Bx Start with the given equation.


15%28%282%2Fcross%285%29%29x%2B1%29=15%281%2Fcross%283%29%2Bx%29 Multiply both sides by the LCD 15 to clear any fractions.


6x%2B15=5%2B15x Distribute and multiply.


6x=5%2B15x-15 Subtract 15 from both sides.


6x-15x=5-15 Subtract 15x from both sides.


-9x=5-15 Combine like terms on the left side.


-9x=-10 Combine like terms on the right side.


x=%28-10%29%2F%28-9%29 Divide both sides by -9 to isolate x.


x=10%2F9 Reduce.


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Answer:

So the solution is x=10%2F9 which approximates to x=1.111.