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5x=\frac{22}{3}+3
Add 3 to both sides.
5x=\frac{22}{3}+\frac{9}{3}
Convert 3 to fraction \frac{9}{3}.
5x=\frac{22+9}{3}
Since \frac{22}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.
5x=\frac{31}{3}
Add 22 and 9 to get 31.
x=\frac{\frac{31}{3}}{5}
Divide both sides by 5.
x=\frac{31}{3\times 5}
Express \frac{\frac{31}{3}}{5} as a single fraction.
x=\frac{31}{15}
Multiply 3 and 5 to get 15.