SOLUTION: Solve and check for X: (x/12)-(1/6)=[(2x-7)/12]

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Question 147994: Solve and check for X:
(x/12)-(1/6)=[(2x-7)/12]
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F12-1%2F6=%282x-7%29%2F12 Start with the given equation.


12%28x%2Fcross%2812%29-1%2Fcross%286%29%29=12%28%282x-7%29%2Fcross%2812%29%29 Multiply both sides by the LCD 12 to clear any fractions.


x-2=2x-7 Distribute and multiply.


x=2x-7%2B2 Add 2 to both sides.


x-2x=-7%2B2 Subtract 2x from both sides.


-x=-7%2B2 Combine like terms on the left side.


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


x=%28-5%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=5 Reduce.


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Answer:

So the answer is x=5

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Check:

x%2F12-1%2F6=%282x-7%29%2F12 Start with the given equation.


%285%29%2F12-1%2F6=%282%2A%285%29-7%29%2F12 Plug in x=5.


%285%29%2F12-2%2F12=%282%2A%285%29-7%29%2F12 Multiply 1%2F6 by 2%2F2


%283%29%2F12=%282%2A%285%29-7%29%2F12 Combine the fractions.


1%2F4=%282%2A%285%29-7%29%2F12 Reduce.


1%2F4=%2810-7%29%2F12 Multiply.


1%2F4=%283%29%2F12 Subtract.


1%2F4=1%2F4 Reduce.




Since the equation is true, this means that x=5 is a solution.