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5x=9-\frac{6}{7}
Subtract \frac{6}{7} from both sides.
5x=\frac{63}{7}-\frac{6}{7}
Convert 9 to fraction \frac{63}{7}.
5x=\frac{63-6}{7}
Since \frac{63}{7} and \frac{6}{7} have the same denominator, subtract them by subtracting their numerators.
5x=\frac{57}{7}
Subtract 6 from 63 to get 57.
x=\frac{\frac{57}{7}}{5}
Divide both sides by 5.
x=\frac{57}{7\times 5}
Express \frac{\frac{57}{7}}{5} as a single fraction.
x=\frac{57}{35}
Multiply 7 and 5 to get 35.