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

Solution for 12(b+6)=5(b-1) equation:

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

Reorder the terms:
12(6 + b) = 5(b + -1)
(6 * 12 + b * 12) = 5(b + -1)
(72 + 12b) = 5(b + -1)

Reorder the terms:
72 + 12b = 5(-1 + b)
72 + 12b = (-1 * 5 + b * 5)
72 + 12b = (-5 + 5b)

Solving
72 + 12b = -5 + 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.
72 + 12b + -5b = -5 + 5b + -5b

Combine like terms: 12b + -5b = 7b
72 + 7b = -5 + 5b + -5b

Combine like terms: 5b + -5b = 0
72 + 7b = -5 + 0
72 + 7b = -5

Add '-72' to each side of the equation.
72 + -72 + 7b = -5 + -72

Combine like terms: 72 + -72 = 0
0 + 7b = -5 + -72
7b = -5 + -72

Combine like terms: -5 + -72 = -77
7b = -77

Divide each side by '7'.
b = -11

Simplifying
b = -11