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7x=\frac{8}{3}-5
Subtract 5 from both sides.
7x=\frac{8}{3}-\frac{15}{3}
Convert 5 to fraction \frac{15}{3}.
7x=\frac{8-15}{3}
Since \frac{8}{3} and \frac{15}{3} have the same denominator, subtract them by subtracting their numerators.
7x=-\frac{7}{3}
Subtract 15 from 8 to get -7.
x=\frac{-\frac{7}{3}}{7}
Divide both sides by 7.
x=\frac{-7}{3\times 7}
Express \frac{-\frac{7}{3}}{7} as a single fraction.
x=\frac{-7}{21}
Multiply 3 and 7 to get 21.
x=-\frac{1}{3}
Reduce the fraction \frac{-7}{21} to lowest terms by extracting and canceling out 7.