Four points \( A(6,3), B(-3,5), C(4,-2) \) and \( D(x, 3 x) \) are ...

Four points \( A(6,3), B(-3,5), C(4,-2) \) and \( D(x, 3 x) \) are given in such a way that \( \frac{\triangle D B C}{\triangle A B C}=\frac{1}{2} \), find \( x \)