Simple algebra problem, what am I doing wrong?

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The algebra problem presented is (x+2)-(3x-2)=x+3, which simplifies incorrectly in the initial steps. The correct simplification leads to -2x + 4 = x + 3, not 2x + 4 = x + 3. The mistake was in miscalculating the coefficients when combining like terms. The correct solution shows that x equals 1/3, as confirmed by Wolfram. The discussion highlights the importance of careful algebraic manipulation to avoid errors.
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(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.
 
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The second line is ##-2x + 4 = x + 3##.
##x - 3x = -2x##, not ##2x##.
 
LastOneStanding said:
The second line is ##-2x + 4 = x + 3##.
##x - 3x = -2x##, not ##2x##.

oh, clumsy error from me. Thanks.
 

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