Solve the equation. (Enter your answers as a comma-separated list.) \[ |2 x+3|-7=9 \] \( x=\square \)

Solve the equation \( |2x+3|-7=9 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\left|2x+3\right|-7=9\) - step1: Move the constant to the right side: \(\left|2x+3\right|=9+7\) - step2: Add the numbers: \(\left|2x+3\right|=16\) - step3: Separate into possible cases: \(\begin{align}&2x+3=16\\&2x+3=-16\end{align}\) - step4: Solve the equation: \(\begin{align}&x=\frac{13}{2}\\&x=-\frac{19}{2}\end{align}\) - step5: Rewrite: \(x_{1}=-\frac{19}{2},x_{2}=\frac{13}{2}\) The solutions to the equation \(|2x+3|-7=9\) are \(x=-\frac{19}{2}\) and \(x=\frac{13}{2}\).