SOLUTION: Solve: x+2/3-4= -x/2

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Question 168222: Solve: x+2/3-4= -x/2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B2%2F3-4=-x%2F2 Start with the given equation.


6%28x%2B2%2Fcross%283%29-4%29=6%28-x%2Fcross%282%29%29 Multiply both sides by the LCD 6 to clear any fractions.


6x%2B4-24=-3x Distribute and multiply.


6x-20=-3x Combine like terms on the left side.


6x=-3x%2B20 Add 20 to both sides.


6x%2B3x=20 Add 3x to both sides.


9x=20 Combine like terms on the left side.


x=%2820%29%2F%289%29 Divide both sides by 9 to isolate x.


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Answer:

So the answer is x=20%2F9 which approximates to x=2.222.