SOLUTION: solve the equation 1/5(x-10)+2/5=-x/3

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Question 550322: solve the equation
1/5(x-10)+2/5=-x/3
Answer by jim_thompson5910(28593) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F5%29%28x-10%29%2B2%2F5=-x%2F3 Start with the given equation.


%281%2F5%29x-2%2B2%2F5=-x%2F3 Distribute.


15%28%281%2Fcross%285%29%29x-2%2B2%2Fcross%285%29%29=15%28-x%2Fcross%283%29%29 Multiply both sides by the LCD 15 to clear any fractions.


3x-30%2B6=-5x Distribute and multiply.


3x-24=-5x Combine like terms on the left side.


3x=-5x%2B24 Add 24 to both sides.


3x%2B5x=24 Add 5x to both sides.


8x=24 Combine like terms on the left side.


x=%2824%29%2F%288%29 Divide both sides by 8 to isolate x.


x=3 Reduce.


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Answer:

So the solution is x=3