SOLUTION: one fourth equals 3 subtract twox subtract 1 divided by x plus two 1/4=3-2x-1 divide by x+2 I am having a problem getting the x on one side

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Question 146586: one fourth equals 3 subtract twox subtract 1 divided by x plus two
1/4=3-2x-1 divide by x+2
I am having a problem getting the x on one side
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F4=3-%282x-1%29%2F%28x%2B2%29 Start with the given equation


Multiply every term by the LCD 4%28x%2B2%29


x%2B2=4%28x%2B2%293-4%282x-1%29 Simplify


x%2B2=12%28x%2B2%29-4%282x-1%29 Multiply and rearrange the terms


x%2B2=12x%2B24-8x%2B4 Distribute


x%2B2=4x%2B28 Combine like terms on the right side.


x=4x%2B28-2 Subtract 2 from both sides.


x-4x=28-2 Subtract 4x from both sides.


-3x=28-2 Combine like terms on the left side.


-3x=26 Combine like terms on the right side.


x=%2826%29%2F%28-3%29 Divide both sides by -3 to isolate x.


x=-26%2F3 Reduce.


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Answer:

So the answer is x=-26%2F3


Which approximates to x=-8.667