SOLUTION: "how do u solve the rational equation, 2/3x + 1 = x - 3 ?

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Question 94111: "how do u solve the rational equation, 2/3x + 1 = x - 3 ?
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F3%29x+%2B+1+=+x+-+3+ Does your problem look like this?


3%28%282%2F3%29x+%2B+1%29+=3%28+x+-+3+%29 Multiply both sides by 3

2x%2B3+=3x+-+9+ Distribute



2x%2B3-3x=-9 Subtract 3x from both sides


2x-3x=-9-3Subtract 3 from both sides


-x=-9-3 Combine like terms on the left side


-x=-12 Combine like terms on the right side


x=%28-12%29%2F%28-1%29 Divide both sides by -1 to isolate x



x=12 Reduce

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Answer:
So our answer is x=12


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Check:

%282%2F3%29%2812%29+%2B+1+=+12+-+3+ Plug in x=12


8%2B1=12-3 Multiply

9=9 works