5(b+2)+b=5(b-1)-1

Solution for 5(b+2)+b=5(b-1)-1 equation:

Simplifying
5(b + 2) + b = 5(b + -1) + -1

Reorder the terms:
5(2 + b) + b = 5(b + -1) + -1
(2 * 5 + b * 5) + b = 5(b + -1) + -1
(10 + 5b) + b = 5(b + -1) + -1

Combine like terms: 5b + b = 6b
10 + 6b = 5(b + -1) + -1

Reorder the terms:
10 + 6b = 5(-1 + b) + -1
10 + 6b = (-1 * 5 + b * 5) + -1
10 + 6b = (-5 + 5b) + -1

Reorder the terms:
10 + 6b = -5 + -1 + 5b

Combine like terms: -5 + -1 = -6
10 + 6b = -6 + 5b

Solving
10 + 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.
10 + 6b + -5b = -6 + 5b + -5b

Combine like terms: 6b + -5b = 1b
10 + 1b = -6 + 5b + -5b

Combine like terms: 5b + -5b = 0
10 + 1b = -6 + 0
10 + 1b = -6

Add '-10' to each side of the equation.
10 + -10 + 1b = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 1b = -6 + -10
1b = -6 + -10

Combine like terms: -6 + -10 = -16
1b = -16

Divide each side by '1'.
b = -16

Simplifying
b = -16