6+b=5(b-2)

Solution for 6+b=5(b-2) equation:

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

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

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

Combine like terms: b + -5b = -4b
6 + -4b = -10 + 5b + -5b

Combine like terms: 5b + -5b = 0
6 + -4b = -10 + 0
6 + -4b = -10

Add '-6' to each side of the equation.
6 + -6 + -4b = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -4b = -10 + -6
-4b = -10 + -6

Combine like terms: -10 + -6 = -16
-4b = -16

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

Simplifying
b = 4