SOLUTION: 5/6x+2/3=-1/6x-5/3

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Question 219699: 5/6x+2/3=-1/6x-5/3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285%2F6%29x%2B2%2F3=-%281%2F6%29x-5%2F3 Start with the given equation.


Multiply both sides by the LCD 6 to clear any fractions.


5x%2B4=-1x-10 Distribute and multiply.


5x=-x-10-4 Subtract 4 from both sides.


5x%2Bx=-10-4 Add x to both sides.


6x=-10-4 Combine like terms on the left side.


6x=-14 Combine like terms on the right side.


x=%28-14%29%2F%286%29 Divide both sides by 6 to isolate x.


x=-7%2F3 Reduce.


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Answer:

So the answer is x=-7%2F3 which approximates to x=-2.333.