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\frac{3}{2}=4x+1
Divide both sides by 2.
4x+1=\frac{3}{2}
Swap sides so that all variable terms are on the left hand side.
4x=\frac{3}{2}-1
Subtract 1 from both sides.
4x=\frac{3}{2}-\frac{2}{2}
Convert 1 to fraction \frac{2}{2}.
4x=\frac{3-2}{2}
Since \frac{3}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.
4x=\frac{1}{2}
Subtract 2 from 3 to get 1.
x=\frac{\frac{1}{2}}{4}
Divide both sides by 4.
x=\frac{1}{2\times 4}
Express \frac{\frac{1}{2}}{4} as a single fraction.
x=\frac{1}{8}
Multiply 2 and 4 to get 8.