Answer
$x=\dfrac{2n-1}{2}$
Work Step by Step
Multiply $2$ to both sides of the equation:
$\begin{align*}
2(n)&=\frac{2x+1}{2} \cdot 2\\
2n&=2x+1\\
\end{align*}$
Subtract $1$ from each side of the equation:
$\begin{align*}
2n-1&=2x+1-1\\
2n-1&=2x
\end{align*}$
Divide $2$ to both sides:
$\begin{align*}
\frac{2n-1}{2}&=\frac{2x}{2}\\
\frac{2n-1}{2}&=x\end{align*}$
