a)
[tex]\frac{1}{2}x-4=x-6\\\\\frac{1}{2}x-x=-6+4\\\\-\frac{1}{2}x=-2 \ \ |\cdot(-2)\\\\\boxed{x=4}[/tex]
c)
[tex]\frac{x}{4}-\frac{1}{4}=2 \ \ |\cdot4\\\\x-1=8\\\\x=8+1\\\\\boxed{x=9}[/tex]
e)
[tex]\frac{5}{6}(x-1)=4 \ \ |\cdot6\\\\5(x-1)=24\\\\5x-5=24\\\\5x=24+5\\\\5x=29 \ \ |:5\\\\\boxed{x=5\frac{4}{5}}[/tex]
