SOLUTION: x-4/2 - 1/4 = 6x-1/20 I am having so much trouble with this problem. My answer is 7 but it doesn't work with the problem. Thanks for the help.

Algebra ->  Equations -> SOLUTION: x-4/2 - 1/4 = 6x-1/20 I am having so much trouble with this problem. My answer is 7 but it doesn't work with the problem. Thanks for the help.       Log On


   

Question 177036: x-4/2 - 1/4 = 6x-1/20 I am having so much trouble with this problem. My answer is 7 but it doesn't work with the problem. Thanks for the help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the equation %28x-4%29%2F2-1%2F4+=+%286x-1%29%2F20 ???


%28%28x-4%29%29%2F2-1%2F4+=+%28%286x-1%29%29%2F20 Start with the given equation.


10%28x-4%29-5+=+6x-1 Multiply EVERY term (that is not in a set of parenthesis) by the LCD 20 to clear the fractions.


10x-40-5=6x-1 Distribute.


10x-45=6x-1 Combine like terms on the left side.


10x=6x-1%2B45 Add 45 to both sides.


10x-6x=-1%2B45 Subtract 6x from both sides.


4x=-1%2B45 Combine like terms on the left side.


4x=44 Combine like terms on the right side.


x=%2844%29%2F%284%29 Divide both sides by 4 to isolate x.


x=11 Reduce.


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Answer:

So the answer is x=11