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2x+3=0
Variable x cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 3x-1.
2x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-3}{2}
Divide both sides by 2.
x=-\frac{3}{2}
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.