[tex]2(x-3)+1=5-4(x-2) \\ 2x-6+1=5-4x+8 \\ 2x-5=13-4x \\ 13=2x-5+4x \\ 6x=13+5 \\ 6x=18 \\ x=\frac{18}{6} \\ \Rightarrow \boxed{x=3}[/tex]
