## Simple algebra problem, what am I doing wrong?

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

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

I can't see where I went wrong.
 The second line is ##-2x + 4 = x + 3##. ##x - 3x = -2x##, not ##2x##.

 Quote by LastOneStanding The second line is ##-2x + 4 = x + 3##. ##x - 3x = -2x##, not ##2x##.
oh, clumsy error from me. Thanks.