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# x/+2=x/3-3 ?

I cannot figure this out...

### 2 Answers by Expert Tutors

John L. | Patient, Knowledgable Math TutorPatient, Knowledgable Math Tutor
4.9 4.9 (177 lesson ratings) (177)
0
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

Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
0
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.