Solve the inequality for real $x: \large\frac{1}{2} \bigg(\large\frac{3x}{5} +4 \bigg)$$\geq \large\frac{1}{3}$$(x-6)$

Question

$\begin{array}{1 1} (A)\;(-3,\infty)\\(B)\;(-\infty,120]\\(C)\;(-4,\infty)\\(D)\; (-9,\infty]\end{array}$