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2x=3-\frac{1}{2}
Subtract \frac{1}{2} from both sides.
2x=\frac{6}{2}-\frac{1}{2}
Convert 3 to fraction \frac{6}{2}.
2x=\frac{6-1}{2}
Since \frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
2x=\frac{5}{2}
Subtract 1 from 6 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.