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2=3+2x
Multiply both sides of the equation by 3.
3+2x=2
Swap sides so that all variable terms are on the left hand side.
2x=2-3
Subtract 3 from both sides.
2x=-1
Subtract 3 from 2 to get -1.
x=\frac{-1}{2}
Divide both sides by 2.
x=-\frac{1}{2}
Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.