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1-x=\frac{-\frac{2}{3}}{2}
Divide both sides by 2.
1-x=\frac{-2}{3\times 2}
Express \frac{-\frac{2}{3}}{2} as a single fraction.
1-x=\frac{-2}{6}
Multiply 3 and 2 to get 6.
1-x=-\frac{1}{3}
Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.
-x=-\frac{1}{3}-1
Subtract 1 from both sides.
-x=-\frac{1}{3}-\frac{3}{3}
Convert 1 to fraction \frac{3}{3}.
-x=\frac{-1-3}{3}
Since -\frac{1}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.
-x=-\frac{4}{3}
Subtract 3 from -1 to get -4.
x=\frac{4}{3}
Multiply both sides by -1.