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3x=5-\frac{7}{2}
Subtract \frac{7}{2} from both sides.
3x=\frac{10}{2}-\frac{7}{2}
Convert 5 to fraction \frac{10}{2}.
3x=\frac{10-7}{2}
Since \frac{10}{2} and \frac{7}{2} have the same denominator, subtract them by subtracting their numerators.
3x=\frac{3}{2}
Subtract 7 from 10 to get 3.
x=\frac{\frac{3}{2}}{3}
Divide both sides by 3.
x=\frac{3}{2\times 3}
Express \frac{\frac{3}{2}}{3} as a single fraction.
x=\frac{1}{2}
Cancel out 3 in both numerator and denominator.