$-4x+6=30\mid -6$

$-4x=24\mid :\left(-4\right)$

$x=-6$

 

$2x-14=6\mid +14$

$2x=20\mid :2$

$x=10$

 

$4+5x=29\mid -4$

$5x=25\mid :5$

$x=5$

 

$-8x+6=4\mid -6$

$-8x=-2\mid :\left(-8\right)$

$x=\frac{2}{8}=\frac{1}{4}$

 

$7-x=22\mid -7$

$-x=15\mid :\left(-1\right)$

$x=-15$

 

$\frac{1}{3}x-4=2\mid +4$

$\frac{1}{3}x=6\mid \cdot 3$

$x=18$