-5(6+3b)-4(b+6)=5b-6b

Solution for -5(6+3b)-4(b+6)=5b-6b equation:

Simplifying
-5(6 + 3b) + -4(b + 6) = 5b + -6b
(6 * -5 + 3b * -5) + -4(b + 6) = 5b + -6b
(-30 + -15b) + -4(b + 6) = 5b + -6b

Reorder the terms:
-30 + -15b + -4(6 + b) = 5b + -6b
-30 + -15b + (6 * -4 + b * -4) = 5b + -6b
-30 + -15b + (-24 + -4b) = 5b + -6b

Reorder the terms:
-30 + -24 + -15b + -4b = 5b + -6b

Combine like terms: -30 + -24 = -54
-54 + -15b + -4b = 5b + -6b

Combine like terms: -15b + -4b = -19b
-54 + -19b = 5b + -6b

Combine like terms: 5b + -6b = -1b
-54 + -19b = -1b

Solving
-54 + -19b = -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
-54 + -19b + b = -1b + b

Combine like terms: -19b + b = -18b
-54 + -18b = -1b + b

Combine like terms: -1b + b = 0
-54 + -18b = 0

Add '54' to each side of the equation.
-54 + 54 + -18b = 0 + 54

Combine like terms: -54 + 54 = 0
0 + -18b = 0 + 54
-18b = 0 + 54

Combine like terms: 0 + 54 = 54
-18b = 54

Divide each side by '-18'.
b = -3

Simplifying
b = -3