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5x=3-\frac{1}{2}
Subtract \frac{1}{2} from both sides.
5x=\frac{6}{2}-\frac{1}{2}
Convert 3 to fraction \frac{6}{2}.
5x=\frac{6-1}{2}
Since \frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
5x=\frac{5}{2}
Subtract 1 from 6 to get 5.
x=\frac{\frac{5}{2}}{5}
Divide both sides by 5.
x=\frac{5}{2\times 5}
Express \frac{\frac{5}{2}}{5} as a single fraction.
x=\frac{1}{2}
Cancel out 5 in both numerator and denominator.