SOLUTION: 1/4 =3 -2x-1 over x+2

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Question 321300: 1/4 =3 -2x-1 over x+2
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.


x%2B2+=3%2A4%28x%2B2%29-4%282x-1%29 Multiply EVERY term by the LCD 4%28x%2B2%29


x%2B2+=12%28x%2B2%29-4%282x-1%29 Multiply.


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 solution is x=-26%2F3 which approximates to x=-8.667.