[tex]\begin{gathered} x-5\mleft(x-1\mright)=x-\mleft(2x-3\mright) \\ x-5\mleft(x-1\mright)-x=x-\mleft(2x-3\mright)-x \\ -5\mleft(x-1\mright)=-\mleft(2x-3\mright) \\ -5x+5=-2x+3 \\ -5x+5-5=-2x+3-5 \\ -5x=-2x-2 \\ -5x+2x=-2x-2+2x \\ -3x=-2 \\ \frac{-3x}{-3}=\frac{-2}{-3} \\ x=\frac{2}{3} \end{gathered}[/tex]