Use partial pivoting with Gaussian elimination to find the solutions to the linear system

$$\begin{array}{rcrcrcrcr} x_1 & - & 2 x_{2} & - & 2 x_{3} & & & = & 4 \\-2 x_1 & + & 6 x_{2} & + & x_{3} & & & = & 6 \\5 x_1 & - & 12 x_{2} & - & 8 x_{3} & & & = & 12\end{array}$$

$(x_1,x_2,x_3) =$

Help: To enter a solution $(a,b,c)$, type your answer as a point (a,b,c).