SOLUTION: Solve for x (x-5)/3 - 3/2 = (4x + 7)/6

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Question 151625: Solve for x
(x-5)/3 - 3/2 = (4x + 7)/6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-5%29%2F3-3%2F2=%284x%2B7%29%2F6 Start with the given equation.



6%28%28x-5%29%2Fcross%283%29-3%2Fcross%282%29%29=6%28%284x+%2B+7%29%2Fcross%286%29%29 Multiply both sides by the LCD 6 to clear any fractions.


2x-10-9=4x%2B7 Distribute.


2x-19=4x%2B7 Combine like terms on the left side.


2x=4x%2B7%2B19 Add 19 to both sides.


2x-4x=7%2B19 Subtract 4x from both sides.


-2x=7%2B19 Combine like terms on the left side.


-2x=26 Combine like terms on the right side.


x=%2826%29%2F%28-2%29 Divide both sides by -2 to isolate x.


x=-13 Reduce.


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Answer:

So the answer is x=-13