8b-5(6+b)=-4(6b-6)

Solution for 8b-5(6+b)=-4(6b-6) equation:

Simplifying
8b + -5(6 + b) = -4(6b + -6)
8b + (6 * -5 + b * -5) = -4(6b + -6)
8b + (-30 + -5b) = -4(6b + -6)

Reorder the terms:
-30 + 8b + -5b = -4(6b + -6)

Combine like terms: 8b + -5b = 3b
-30 + 3b = -4(6b + -6)

Reorder the terms:
-30 + 3b = -4(-6 + 6b)
-30 + 3b = (-6 * -4 + 6b * -4)
-30 + 3b = (24 + -24b)

Solving
-30 + 3b = 24 + -24b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '24b' to each side of the equation.
-30 + 3b + 24b = 24 + -24b + 24b

Combine like terms: 3b + 24b = 27b
-30 + 27b = 24 + -24b + 24b

Combine like terms: -24b + 24b = 0
-30 + 27b = 24 + 0
-30 + 27b = 24

Add '30' to each side of the equation.
-30 + 30 + 27b = 24 + 30

Combine like terms: -30 + 30 = 0
0 + 27b = 24 + 30
27b = 24 + 30

Combine like terms: 24 + 30 = 54
27b = 54

Divide each side by '27'.
b = 2

Simplifying
b = 2