[tex]x+1-2-(-x+3)=6-1(1-1)\\\\x+(1-2)-(-x)-(+3)=6-1(0)\\\\x+(-1)+x-3=6-0\\\\x-1+x-3=6\ \ \ \ |\text{use commutative and associative property}\\\\(x+x)+(-1-3)=6\\\\2x-4=6\ \ \ \ |\text{add 4 to both sides}\\\\2x=10\ \ \ \ \ |\text{divide both sides by 2}\\\\\boxed{x=5}[/tex]
