Determine the Value of X in the Given System of Linear

Multiple Choice

Determine the value of x in the given system of linear equations. $\begin{aligned} x+2 y-z & =4 \\ -2 x-2 y+2 z & =-3 \\ -3 x-2 y-4 z & =3\end{aligned}$

A) $\frac{5}{2}$

B) $-\frac{5}{2}$

C) $-\frac{12}{7}$

D) $\frac{12}{7}$