Simple algebra problem, what am I doing wrong?

[uperkurk]

$$(x+2)-(3x-2)=x+3$$
$$2x+4=x+3$$
$$x+4=3$$
$$x=-1$$

but wolfram says the answer is $x=\frac{1}{3}$

I can't see where I went wrong.

 

[VantagePoint72]

The second line is $-2x + 4 = x + 3$.
$x - 3x = -2x$, not $2x$.

 

[uperkurk]

The second line is $-2x + 4 = x + 3$.
$x - 3x = -2x$, not $2x$.

oh, clumsy error from me. Thanks.