-6(x-7)-1=89

Solution for -6(x-7)-1=89 equation:

Simplifying
-6(x + -7) + -1 = 89

Reorder the terms:
-6(-7 + x) + -1 = 89
(-7 * -6 + x * -6) + -1 = 89
(42 + -6x) + -1 = 89

Reorder the terms:
42 + -1 + -6x = 89

Combine like terms: 42 + -1 = 41
41 + -6x = 89

Solving
41 + -6x = 89

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-41' to each side of the equation.
41 + -41 + -6x = 89 + -41

Combine like terms: 41 + -41 = 0
0 + -6x = 89 + -41
-6x = 89 + -41

Combine like terms: 89 + -41 = 48
-6x = 48

Divide each side by '-6'.
x = -8

Simplifying
x = -8