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x-\frac{1}{2}=-\frac{3}{4}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
x=-\frac{3}{4}+\frac{1}{2}
Add \frac{1}{2} to both sides.
x=-\frac{3}{4}+\frac{2}{4}
Least common multiple of 4 and 2 is 4. Convert -\frac{3}{4} and \frac{1}{2} to fractions with denominator 4.
x=\frac{-3+2}{4}
Since -\frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.
x=-\frac{1}{4}
Add -3 and 2 to get -1.