(x-frac (3)/(2))(2)=(1)/(4)

Eliminate the denominator <br />$x-\frac{3}{2}=\frac{1}{4}\times2$ <br />Calculate<br />$x-\frac{3}{2}=\frac{1}{2}$ <br />Regroup like terms<br />$x=\frac{1}{2}+\frac{3}{2}$ <br />Collect like terms<br />$x=2$ <br />