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x/+2=x/3-3 ?

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2 Answers

Hi Chris,
 
Assuming you meant:
 
x/(+2) = (x/3) - 3
 
or, a little prettier:
 
<pre>
 
 x      x
--- = --- - 3
+2     3
 
</pre>
 
(darn, doesn't look like wyzant will let us use html tags)
 
Then you can subtract x/3 from both sides:
 
x/2 - x/3 = x/3 -3 - x/3
 
x/2 - x/3 = -3
 
Then, get a common denominator:
 
(x/2)(3/3) - (x/3)(2/2) = -3
 
3x/6 - 2x/6 = -3
 
Next, combine like terms (fraction subtraction):
 
x/6 = -3
 
Now, multiply both sides by 6:
 
6(x/6) = (-3)6
 
x = -18
 
Hi Chris;
I am certain this is NOT...
x/(+2)=x/(3-3)
because 3-3=0.  A numerator cannot be zero.
I think this is...
x/(+2)=(x/3)-3
+2 and 2 is the same thing.
So...
x/2=(x/3)-3
Let's eliminate fractions.  2 x 3 =6.  Let's multiply both sides by 6...
6(x/2)=6[(x/3)-3]
3x=2x-18
Let's subtract 2x from both sides as we proceed to isolate x...
-2x+3x=2x-18-2x
x=-18
 
Let's check our work.
The original question was...
x/(+2)=(x/3)-3
-18/2=(-18/3)-3
-9=-6-3
-9=-9
 
If I misunderstood the original question, please let me know.
I hope this helps either way.