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3x-2=\frac{10}{3}
Divide both sides by 3.
3x=\frac{10}{3}+2
Add 2 to both sides.
3x=\frac{10}{3}+\frac{6}{3}
Convert 2 to fraction \frac{6}{3}.
3x=\frac{10+6}{3}
Since \frac{10}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.
3x=\frac{16}{3}
Add 10 and 6 to get 16.
x=\frac{\frac{16}{3}}{3}
Divide both sides by 3.
x=\frac{16}{3\times 3}
Express \frac{\frac{16}{3}}{3} as a single fraction.
x=\frac{16}{9}
Multiply 3 and 3 to get 9.