SOLUTION: x+7/6=2x-7/6

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Question 147465This question is from textbook Beginning Algebra
: x+7/6=2x-7/6
 This question is from textbook Beginning Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B7%2F6=2x-7%2F6 Start with the given equation.


6%28x%2B7%2Fcross%286%29%29=6%282x-7%2Fcross%286%29%29 Multiply both sides by the LCD 6 to clear any fractions.


6x%2B7=12x-7 Distribute and multiply.


6x=12x-7-7 Subtract 7 from both sides.


6x-12x=-7-7 Subtract 12x from both sides.


-6x=-7-7 Combine like terms on the left side.


-6x=-14 Combine like terms on the right side.


x=%28-14%29%2F%28-6%29 Divide both sides by -6 to isolate x.


x=7%2F3 Reduce.


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Answer:

So the answer is x=7%2F3


Which approximates to x=2.333