b-1=7b+5

Solution for b-1=7b+5 equation:

Simplifying
b + -1 = 7b + 5

Reorder the terms:
-1 + b = 7b + 5

Reorder the terms:
-1 + b = 5 + 7b

Solving
-1 + b = 5 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
-1 + b + -7b = 5 + 7b + -7b

Combine like terms: b + -7b = -6b
-1 + -6b = 5 + 7b + -7b

Combine like terms: 7b + -7b = 0
-1 + -6b = 5 + 0
-1 + -6b = 5

Add '1' to each side of the equation.
-1 + 1 + -6b = 5 + 1

Combine like terms: -1 + 1 = 0
0 + -6b = 5 + 1
-6b = 5 + 1

Combine like terms: 5 + 1 = 6
-6b = 6

Divide each side by '-6'.
b = -1

Simplifying
b = -1