a]
[tex]-2x-12=-3x-13\\\\-2x+3x=-13+12\\\\\huge\boxed{x=-1}[/tex]
b]
[tex]12x-10=-6x+8\\\\12x+6x=8+10\\\\18x=18 \ \ |:18\\\\\huge\boxed{x=1}[/tex]
c]
[tex]2x-2=4x-2\\\\2x-4x=-2+2\\\\-2x=0 \ \ |:(-2)\\\\\huge\boxed{x=0}[/tex]
d]
[tex]4x+35=-x+5\\\\4x+x=5-35\\\\5x=-30 \ \ |:5\\\\\huge\boxed{x=-6}[/tex]