b+6=3[b-4]

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

Simplifying
b + 6 = 3[b + -4]

Reorder the terms:
6 + b = 3[b + -4]

Reorder the terms:
6 + b = 3[-4 + b]
6 + b = [-4 * 3 + b * 3]
6 + b = [-12 + 3b]

Solving
6 + b = -12 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
6 + b + -3b = -12 + 3b + -3b

Combine like terms: b + -3b = -2b
6 + -2b = -12 + 3b + -3b

Combine like terms: 3b + -3b = 0
6 + -2b = -12 + 0
6 + -2b = -12

Add '-6' to each side of the equation.
6 + -6 + -2b = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -2b = -12 + -6
-2b = -12 + -6

Combine like terms: -12 + -6 = -18
-2b = -18

Divide each side by '-2'.
b = 9

Simplifying
b = 9