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

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

Simplifying
3[4 + -1(b + 5)] + 6 = 6(3 + -1b)

Reorder the terms:
3[4 + -1(5 + b)] + 6 = 6(3 + -1b)
3[4 + (5 * -1 + b * -1)] + 6 = 6(3 + -1b)
3[4 + (-5 + -1b)] + 6 = 6(3 + -1b)

Combine like terms: 4 + -5 = -1
3[-1 + -1b] + 6 = 6(3 + -1b)
[-1 * 3 + -1b * 3] + 6 = 6(3 + -1b)
[-3 + -3b] + 6 = 6(3 + -1b)

Reorder the terms:
-3 + 6 + -3b = 6(3 + -1b)

Combine like terms: -3 + 6 = 3
3 + -3b = 6(3 + -1b)
3 + -3b = (3 * 6 + -1b * 6)
3 + -3b = (18 + -6b)

Solving
3 + -3b = 18 + -6b

Solving for variable 'b'.

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

Add '6b' to each side of the equation.
3 + -3b + 6b = 18 + -6b + 6b

Combine like terms: -3b + 6b = 3b
3 + 3b = 18 + -6b + 6b

Combine like terms: -6b + 6b = 0
3 + 3b = 18 + 0
3 + 3b = 18

Add '-3' to each side of the equation.
3 + -3 + 3b = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 3b = 18 + -3
3b = 18 + -3

Combine like terms: 18 + -3 = 15
3b = 15

Divide each side by '3'.
b = 5

Simplifying
b = 5