SOLUTION: could you please help me with this:
6/x+3 - 3/x+6 = 4/x+3
Could you show me the steps as well as your answer please?
Thank you
Algebra.Com
Question 92406: could you please help me with this:
6/x+3 - 3/x+6 = 4/x+3
Could you show me the steps as well as your answer please?
Thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation
Multiply both sides by the LCD
Distribute and multiply
Distribute again
Combine the variable terms 6x and -3x on the left side to get 3x
Combine the constant terms 36 and -9 on the left side to get 27
Subtract 27 from both sides
Subtract 4x from both sides
Combine like terms and on the left side to get
Combine like terms -27 and 24 on the left side to get -3
Now divide both sides by -1 to isolate and solve for x
Reduce
So our answer is
Check:
Start with the given equation
plug in the answer x=3
Add
Multiply both fractions by a form of 1 to make both denominators equal
Multiply
Subtract
Reduce both sides. So our answer is verified
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