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-2x=\frac{2}{3}
Add \frac{2}{3} to both sides. Anything plus zero gives itself.
x=\frac{\frac{2}{3}}{-2}
Divide both sides by -2.
x=\frac{2}{3\left(-2\right)}
Express \frac{\frac{2}{3}}{-2} as a single fraction.
x=\frac{2}{-6}
Multiply 3 and -2 to get -6.
x=-\frac{1}{3}
Reduce the fraction \frac{2}{-6} to lowest terms by extracting and canceling out 2.