5(b+4)+b=5(b-1)-1

Solution for 5(b+4)+b=5(b-1)-1 equation:

Simplifying
5(b + 4) + b = 5(b + -1) + -1

Reorder the terms:
5(4 + b) + b = 5(b + -1) + -1
(4 * 5 + b * 5) + b = 5(b + -1) + -1
(20 + 5b) + b = 5(b + -1) + -1

Combine like terms: 5b + b = 6b
20 + 6b = 5(b + -1) + -1

Reorder the terms:
20 + 6b = 5(-1 + b) + -1
20 + 6b = (-1 * 5 + b * 5) + -1
20 + 6b = (-5 + 5b) + -1

Reorder the terms:
20 + 6b = -5 + -1 + 5b

Combine like terms: -5 + -1 = -6
20 + 6b = -6 + 5b

Solving
20 + 6b = -6 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
20 + 6b + -5b = -6 + 5b + -5b

Combine like terms: 6b + -5b = 1b
20 + 1b = -6 + 5b + -5b

Combine like terms: 5b + -5b = 0
20 + 1b = -6 + 0
20 + 1b = -6

Add '-20' to each side of the equation.
20 + -20 + 1b = -6 + -20

Combine like terms: 20 + -20 = 0
0 + 1b = -6 + -20
1b = -6 + -20

Combine like terms: -6 + -20 = -26
1b = -26

Divide each side by '1'.
b = -26

Simplifying
b = -26