SOLUTION: Solve by clearing fractions -x+2/5=5-4/3x What are the correct steps if anyone can help?

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Question 554531: Solve by clearing fractions
-x+2/5=5-4/3x
What are the correct steps if anyone can help?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-x%2B2%2F5=5-%284%2F3%29x Start with the given equation.


15%28-x%2B2%2Fcross%285%29%29=15%285-%284%2Fcross%283%29%29x%29 Multiply both sides by the LCD 15 to clear any fractions.


-15x%2B6=75-20x Distribute and multiply.


-15x=75-20x-6 Subtract 6 from both sides.


-15x%2B20x=75-6 Add 20x to both sides.


5x=75-6 Combine like terms on the left side.


5x=69 Combine like terms on the right side.


x=%2869%29%2F%285%29 Divide both sides by 5 to isolate x.


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Answer:

So the solution is x=69%2F5


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