SOLUTION: solve for x 3 over 5(x+2)=x-4

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Question 550534: solve for x 3 over 5(x+2)=x-4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F5%29%28x%2B2%29=x-4 Start with the given equation.


%283%2F5%29x%2B6%2F5=x-4 Distribute.


5%28%283%2Fcross%285%29%29x%2B6%2Fcross%285%29%29=5%28x-4%29 Multiply both sides by the LCD 5 to clear any fractions.


3x%2B6=5x-20 Distribute and multiply.


3x=5x-20-6 Subtract 6 from both sides.


3x-5x=-20-6 Subtract 5x from both sides.


-2x=-20-6 Combine like terms on the left side.


-2x=-26 Combine like terms on the right side.


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


x=13 Reduce.


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Answer:

So the solution is x=13