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5x=7-\frac{8}{3}
Subtract \frac{8}{3} from both sides.
5x=\frac{21}{3}-\frac{8}{3}
Convert 7 to fraction \frac{21}{3}.
5x=\frac{21-8}{3}
Since \frac{21}{3} and \frac{8}{3} have the same denominator, subtract them by subtracting their numerators.
5x=\frac{13}{3}
Subtract 8 from 21 to get 13.
x=\frac{\frac{13}{3}}{5}
Divide both sides by 5.
x=\frac{13}{3\times 5}
Express \frac{\frac{13}{3}}{5} as a single fraction.
x=\frac{13}{15}
Multiply 3 and 5 to get 15.