6(b+1)+6b=5b-36

Solution for 6(b+1)+6b=5b-36 equation:

Simplifying
6(b + 1) + 6b = 5b + -36

Reorder the terms:
6(1 + b) + 6b = 5b + -36
(1 * 6 + b * 6) + 6b = 5b + -36
(6 + 6b) + 6b = 5b + -36

Combine like terms: 6b + 6b = 12b
6 + 12b = 5b + -36

Reorder the terms:
6 + 12b = -36 + 5b

Solving
6 + 12b = -36 + 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.
6 + 12b + -5b = -36 + 5b + -5b

Combine like terms: 12b + -5b = 7b
6 + 7b = -36 + 5b + -5b

Combine like terms: 5b + -5b = 0
6 + 7b = -36 + 0
6 + 7b = -36

Add '-6' to each side of the equation.
6 + -6 + 7b = -36 + -6

Combine like terms: 6 + -6 = 0
0 + 7b = -36 + -6
7b = -36 + -6

Combine like terms: -36 + -6 = -42
7b = -42

Divide each side by '7'.
b = -6

Simplifying
b = -6