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-3x+2=m
Swap sides so that all variable terms are on the left hand side.
-3x=m-2
Subtract 2 from both sides.
\frac{-3x}{-3}=\frac{m-2}{-3}
Divide both sides by -3.
x=\frac{m-2}{-3}
Dividing by -3 undoes the multiplication by -3.
x=\frac{2-m}{3}
Divide m-2 by -3.