1)
[tex]-4(x+2)=8 \ \ |:(-4)\\\\x+2=-2\\\\x=-2-2\\\\\boxed{x=-4}[/tex]
2)
[tex]1=2-3x\\\\2-3x=1\\\\-3x=1-2\\\\-3x=-1 \ \ |:(-3)\\\\\boxed{x=\frac{1}{3}}[/tex]
3)
[tex]8-2x=2x\\\\-2x-2x=-8\\\\-4x=-8 \ \ |:(-4)\\\\\boxed{x=2}[/tex]
4)
[tex]5x+3=2x+9\\\\5x-2x=9-3\\\\3x=6 \ \ |:3\\\\\boxed{x=2}[/tex]
5)
[tex]4(x-5)=100 \ \ |:4\\\\x-5=25\\\\x=25+5\\\\\boxed{x=30}[/tex]
6)
[tex]\frac{1}{2}(x+3)=5 \ \ |\cdot2\\\\x+3=10\\\\x=10-3\\\\\boxed{x=7}[/tex]