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3x=\frac{16}{3}-7
Subtract 7 from both sides.
3x=\frac{16}{3}-\frac{21}{3}
Convert 7 to fraction \frac{21}{3}.
3x=\frac{16-21}{3}
Since \frac{16}{3} and \frac{21}{3} have the same denominator, subtract them by subtracting their numerators.
3x=-\frac{5}{3}
Subtract 21 from 16 to get -5.
x=\frac{-\frac{5}{3}}{3}
Divide both sides by 3.
x=\frac{-5}{3\times 3}
Express \frac{-\frac{5}{3}}{3} as a single fraction.
x=\frac{-5}{9}
Multiply 3 and 3 to get 9.
x=-\frac{5}{9}
Fraction \frac{-5}{9} can be rewritten as -\frac{5}{9} by extracting the negative sign.