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4x=\frac{3}{2}
Add \frac{3}{2} to both sides. Anything plus zero gives itself.
x=\frac{\frac{3}{2}}{4}
Divide both sides by 4.
x=\frac{3}{2\times 4}
Express \frac{\frac{3}{2}}{4} as a single fraction.
x=\frac{3}{8}
Multiply 2 and 4 to get 8.