-2[4-(3b-2)]=3-2(3b+6)

Solution for -2[4-(3b-2)]=3-2(3b+6) equation:

Simplifying
-2[4 + -1(3b + -2)] = 3 + -2(3b + 6)

Reorder the terms:
-2[4 + -1(-2 + 3b)] = 3 + -2(3b + 6)
-2[4 + (-2 * -1 + 3b * -1)] = 3 + -2(3b + 6)
-2[4 + (2 + -3b)] = 3 + -2(3b + 6)

Combine like terms: 4 + 2 = 6
-2[6 + -3b] = 3 + -2(3b + 6)
[6 * -2 + -3b * -2] = 3 + -2(3b + 6)
[-12 + 6b] = 3 + -2(3b + 6)

Reorder the terms:
-12 + 6b = 3 + -2(6 + 3b)
-12 + 6b = 3 + (6 * -2 + 3b * -2)
-12 + 6b = 3 + (-12 + -6b)

Combine like terms: 3 + -12 = -9
-12 + 6b = -9 + -6b

Solving
-12 + 6b = -9 + -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.
-12 + 6b + 6b = -9 + -6b + 6b

Combine like terms: 6b + 6b = 12b
-12 + 12b = -9 + -6b + 6b

Combine like terms: -6b + 6b = 0
-12 + 12b = -9 + 0
-12 + 12b = -9

Add '12' to each side of the equation.
-12 + 12 + 12b = -9 + 12

Combine like terms: -12 + 12 = 0
0 + 12b = -9 + 12
12b = -9 + 12

Combine like terms: -9 + 12 = 3
12b = 3

Divide each side by '12'.
b = 0.25

Simplifying
b = 0.25