SOLUTION: I'm stuck again... x/3 - x/6 = 1 Man I hate these things... Please help...

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Question 43122This question is from textbook Beginning Algebra
: I'm stuck again...
x/3 - x/6 = 1 Man I hate these things...
Please help...
This question is from textbook Beginning Algebra

Found 2 solutions by fractalier, tutorcecilia:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
To do fractional equations, the first step is almost always the same...multiply every term by the lowest common denominator present in the problem...here that is 6...so we get
x/3 - x/6 = 1
6(x/3 - x/6 = 1)
2x - x = 6
x = 6

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
The best way is to first get rid of the fractions. That is what makes these problems so confusing:
Get rid of the fractions by multiplying by a common factor:
.
Multiply the entire equation by 6 which is common to both 3 and 6.
6(x/3 - x/6 = 1)
.
Distribute the 6 throughout the equation:
6x/3 - 6x/6 = (6)(1)
.
Cancel out wherever possible:
2x-x=6
.
Simplify by combining like-terms:
x =6
Check your answer by plugging x=6 back into the original equation:
x/3 - x/6 = 1
(6)/3 - (6)/6 = 1
2-1=1
1=1 It checks out.