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\frac{1-2x}{3}=\frac{4}{24}
Divide both sides by 24.
\frac{1-2x}{3}=\frac{1}{6}
Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.
1-2x=\frac{1}{6}\times 3
Multiply both sides by 3.
1-2x=\frac{3}{6}
Multiply \frac{1}{6} and 3 to get \frac{3}{6}.
1-2x=\frac{1}{2}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.
-2x=\frac{1}{2}-1
Subtract 1 from both sides.
-2x=\frac{1}{2}-\frac{2}{2}
Convert 1 to fraction \frac{2}{2}.
-2x=\frac{1-2}{2}
Since \frac{1}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.
-2x=-\frac{1}{2}
Subtract 2 from 1 to get -1.
x=\frac{-\frac{1}{2}}{-2}
Divide both sides by -2.
x=\frac{-1}{2\left(-2\right)}
Express \frac{-\frac{1}{2}}{-2} as a single fraction.
x=\frac{-1}{-4}
Multiply 2 and -2 to get -4.
x=\frac{1}{4}
Fraction \frac{-1}{-4} can be simplified to \frac{1}{4} by removing the negative sign from both the numerator and the denominator.