5(b+3)+b=5(b-4)-1

Solution for 5(b+3)+b=5(b-4)-1 equation:

Simplifying
5(b + 3) + b = 5(b + -4) + -1

Reorder the terms:
5(3 + b) + b = 5(b + -4) + -1
(3 * 5 + b * 5) + b = 5(b + -4) + -1
(15 + 5b) + b = 5(b + -4) + -1

Combine like terms: 5b + b = 6b
15 + 6b = 5(b + -4) + -1

Reorder the terms:
15 + 6b = 5(-4 + b) + -1
15 + 6b = (-4 * 5 + b * 5) + -1
15 + 6b = (-20 + 5b) + -1

Reorder the terms:
15 + 6b = -20 + -1 + 5b

Combine like terms: -20 + -1 = -21
15 + 6b = -21 + 5b

Solving
15 + 6b = -21 + 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.
15 + 6b + -5b = -21 + 5b + -5b

Combine like terms: 6b + -5b = 1b
15 + 1b = -21 + 5b + -5b

Combine like terms: 5b + -5b = 0
15 + 1b = -21 + 0
15 + 1b = -21

Add '-15' to each side of the equation.
15 + -15 + 1b = -21 + -15

Combine like terms: 15 + -15 = 0
0 + 1b = -21 + -15
1b = -21 + -15

Combine like terms: -21 + -15 = -36
1b = -36

Divide each side by '1'.
b = -36

Simplifying
b = -36