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

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Question 195571This question is from textbook McDougal Littell Algebra 1
: 2/x+3 + 1/x=4/3x This question is from textbook McDougal Littell Algebra 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%2F%28x%2B3%29%2B1%2Fx=%284%29%2F%283x%29 Start with the given equation.


Multiply every term on both sides by the LCD 3x%28x%2B3%29. Doing this will eliminate all of the fractions.


3x%282%29%2B3%28x%2B3%29%281%29=4%28x%2B3%29 Cancel out and simplify


6x%2B3%28x%2B3%29=4%28x%2B3%29 Multiply


6x%2B3x%2B9=4x%2B12 Distribute.


9x%2B9=4x%2B12 Combine like terms on the left side.


9x=4x%2B12-9 Subtract 9 from both sides.


9x-4x=12-9 Subtract 4x from both sides.


5x=12-9 Combine like terms on the left side.


5x=3 Combine like terms on the right side.


x=%283%29%2F%285%29 Divide both sides by 5 to isolate x.


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Answer:

So the answer is x=3%2F5 which in decimal form is x=0.6.