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2x=3+\frac{7}{2}
Add \frac{7}{2} to both sides.
2x=\frac{6}{2}+\frac{7}{2}
Convert 3 to fraction \frac{6}{2}.
2x=\frac{6+7}{2}
Since \frac{6}{2} and \frac{7}{2} have the same denominator, add them by adding their numerators.
2x=\frac{13}{2}
Add 6 and 7 to get 13.
x=\frac{\frac{13}{2}}{2}
Divide both sides by 2.
x=\frac{13}{2\times 2}
Express \frac{\frac{13}{2}}{2} as a single fraction.
x=\frac{13}{4}
Multiply 2 and 2 to get 4.