1. Exclude the restricted values of x
x2−x−30x−6=8
2. Write -x as a sum
x2−x−30x−6=8,x≠6
3. Factor out x from the expression
Factor out -6 from the expression
x2+5x−6x−30x−6=8
4. Factor out x+5 from the expression
x×(x+5)−6(x+5)x−6=8
5. Simplify the fraction
x−6)×(x+5)x−6=8
6. Move constant to the right side and change its sign
x+5=8
7. Subtract the numbers
x=8−5
8. If any solution equals to a restricted value, exclude it
x=3,x≠6
9. Answer
x=3
Is this good enough?