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2x=\frac{1}{2}-3
Subtract 3 from both sides.
2x=\frac{1}{2}-\frac{6}{2}
Convert 3 to fraction \frac{6}{2}.
2x=\frac{1-6}{2}
Since \frac{1}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.
2x=-\frac{5}{2}
Subtract 6 from 1 to get -5.
x=\frac{-\frac{5}{2}}{2}
Divide both sides by 2.
x=\frac{-5}{2\times 2}
Express \frac{-\frac{5}{2}}{2} as a single fraction.
x=\frac{-5}{4}
Multiply 2 and 2 to get 4.
x=-\frac{5}{4}
Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.