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3+4x=\frac{15}{2}
Divide both sides by 2.
4x=\frac{15}{2}-3
Subtract 3 from both sides.
4x=\frac{15}{2}-\frac{6}{2}
Convert 3 to fraction \frac{6}{2}.
4x=\frac{15-6}{2}
Since \frac{15}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.
4x=\frac{9}{2}
Subtract 6 from 15 to get 9.
x=\frac{\frac{9}{2}}{4}
Divide both sides by 4.
x=\frac{9}{2\times 4}
Express \frac{\frac{9}{2}}{4} as a single fraction.
x=\frac{9}{8}
Multiply 2 and 4 to get 8.