a)\frac{1}{2} x-4 =x-6
\frac{1}{2} x - x = -6 +4
-\frac{1}{2} x = -2 /*(-2)
x=1
b) x-5= \frac{1}{3} x+1
x- \frac{1}{3} x = 1+5
$\frac{2}{3}x=6 /*(\frac{3}{2}$)
x=9
c)\frac{x}{4} - \frac{1}{4} =2 /*4
x-1=8
x=9
d)\frac{x}{5} -3= x+ \frac{1}{5} /*5
x-15=5x+1
x-5x=1+15
-4x=16 /: (-4)
x=-4
e) \frac{5}{6} (x-1) =4
$\frac{5}{6}x – \frac{5}{6} = 4
\frac{5}{6}x=4+\frac{5}{6}
\frac{5}{6}x=\frac{29}{6} /* (\frac{6}{5})
**x=\frac{29}{5}$*
f)- \frac{1}{2} (-x-6)=-x
$\frac{1}{2}x + 3=-x
\frac{1}{2} x+x=-3
\frac{3}{2}x=-3 /*(\frac{2}{3}$)
x=-2