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\frac{2}{3}=2x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
2x=\frac{2}{3}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{2}{3}}{2}
Divide both sides by 2.
x=\frac{2}{3\times 2}
Express \frac{\frac{2}{3}}{2} as a single fraction.
x=\frac{1}{3}
Cancel out 2 in both numerator and denominator.