Answer
$x=\frac{7}{2}$
Work Step by Step
We are given the equation $x+\frac{1}{2}=4$.
Subtract $\frac{1}{2}$ from both sides.
$x+\frac{1}{2}-\frac{1}{2}=4-\frac{1}{2}$
$x+0=4-\frac{1}{2}=\frac{8}{2}-\frac{1}{2}=\frac{8-1}{2}=\frac{7}{2}$
$x+0=\frac{7}{2}$
Therefore, $x=\frac{7}{2}$.