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[tex]A-B = \left[\begin{array}{ccc}-2&2x-4\\x-3&-x+4\end{array}\right] \\ \\ |A-B|=-2 \\ -2(-x+4)-(2x-4)(x-3)=-2 \\ 2x-8-(2x^2-10x+12)=-2 \\ -2x^2+12x-20+2=0 \\ 2x^2-12x+18=0 \\ x^2-6x+9=0 \\ (x-3)^2=0 \\ x-3=0 \\ x=3[/tex]