6-b=5(b+6)

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

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

Reorder the terms:
6 + -1b = 5(6 + b)
6 + -1b = (6 * 5 + b * 5)
6 + -1b = (30 + 5b)

Solving
6 + -1b = 30 + 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 + -1b + -5b = 30 + 5b + -5b

Combine like terms: -1b + -5b = -6b
6 + -6b = 30 + 5b + -5b

Combine like terms: 5b + -5b = 0
6 + -6b = 30 + 0
6 + -6b = 30

Add '-6' to each side of the equation.
6 + -6 + -6b = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -6b = 30 + -6
-6b = 30 + -6

Combine like terms: 30 + -6 = 24
-6b = 24

Divide each side by '-6'.
b = -4

Simplifying
b = -4