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9x+\frac{1}{2}=15
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
9x=15-\frac{1}{2}
Subtract \frac{1}{2} from both sides.
9x=\frac{30}{2}-\frac{1}{2}
Convert 15 to fraction \frac{30}{2}.
9x=\frac{30-1}{2}
Since \frac{30}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
9x=\frac{29}{2}
Subtract 1 from 30 to get 29.
x=\frac{\frac{29}{2}}{9}
Divide both sides by 9.
x=\frac{29}{2\times 9}
Express \frac{\frac{29}{2}}{9} as a single fraction.
x=\frac{29}{18}
Multiply 2 and 9 to get 18.