SOLUTION: please help me solve 3/x-1/4=1/x

Question 80234This question is from textbook
: please help me solve 3/x-1/4=1/x This question is from textbook

Answer by mathtutor777(6) (Show Source): You can put this solution on YOUR website!
You will need to get a common denominator. It will have to be 4x.
To make 3/x have a denominator of 4x, you will have to multiply by 4 and get (3*4)/4x = 12/4x.
To make 1/4 have a denominator of 4x, you will have to multiply by x to get
x/4x.
To make 1/x have a denominator of 4x, you will hav to multiply by 4 to get
4/4x.
Your problem is now 12/4x - x/4x = 4/4x.
On the left, subtract numerators and keep the same denominator. Your problem is now (12-x)/4x = 4/4x. Now multiply by 4x to get rid of the denominators. You now have 12 - x = 4. Add x to both sides to get 12 = 4 + x. Subtract 4 from both sides and you will get x = 8.
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