Solve for \( x \), \( \left.\qquad \begin{array}{l}\frac{3 x+7}{2}=-4 \\ \text { Simplify your answer as much as possible, } \\ x\end{array}\right) \)

Solve the equation \( \frac{3x+7}{2}=-4 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{3x+7}{2}=-4\) - step1: Cross multiply: \(3x+7=2\left(-4\right)\) - step2: Simplify the equation: \(3x+7=-8\) - step3: Move the constant to the right side: \(3x=-8-7\) - step4: Subtract the numbers: \(3x=-15\) - step5: Divide both sides: \(\frac{3x}{3}=\frac{-15}{3}\) - step6: Divide the numbers: \(x=-5\) The solution to the equation \( \frac{3x+7}{2}=-4 \) is \( x=-5 \).