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3x=5+\frac{1}{2}
Add \frac{1}{2} to both sides.
3x=\frac{10}{2}+\frac{1}{2}
Convert 5 to fraction \frac{10}{2}.
3x=\frac{10+1}{2}
Since \frac{10}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
3x=\frac{11}{2}
Add 10 and 1 to get 11.
x=\frac{\frac{11}{2}}{3}
Divide both sides by 3.
x=\frac{11}{2\times 3}
Express \frac{\frac{11}{2}}{3} as a single fraction.
x=\frac{11}{6}
Multiply 2 and 3 to get 6.