-2(4-(3b+2))=5-2(3b+6)

Solution for -2(4-(3b+2))=5-2(3b+6) equation:

Simplifying
-2(4 + -1(3b + 2)) = 5 + -2(3b + 6)

Reorder the terms:
-2(4 + -1(2 + 3b)) = 5 + -2(3b + 6)
-2(4 + (2 * -1 + 3b * -1)) = 5 + -2(3b + 6)
-2(4 + (-2 + -3b)) = 5 + -2(3b + 6)

Combine like terms: 4 + -2 = 2
-2(2 + -3b) = 5 + -2(3b + 6)
(2 * -2 + -3b * -2) = 5 + -2(3b + 6)
(-4 + 6b) = 5 + -2(3b + 6)

Reorder the terms:
-4 + 6b = 5 + -2(6 + 3b)
-4 + 6b = 5 + (6 * -2 + 3b * -2)
-4 + 6b = 5 + (-12 + -6b)

Combine like terms: 5 + -12 = -7
-4 + 6b = -7 + -6b

Solving
-4 + 6b = -7 + -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.
-4 + 6b + 6b = -7 + -6b + 6b

Combine like terms: 6b + 6b = 12b
-4 + 12b = -7 + -6b + 6b

Combine like terms: -6b + 6b = 0
-4 + 12b = -7 + 0
-4 + 12b = -7

Add '4' to each side of the equation.
-4 + 4 + 12b = -7 + 4

Combine like terms: -4 + 4 = 0
0 + 12b = -7 + 4
12b = -7 + 4

Combine like terms: -7 + 4 = -3
12b = -3

Divide each side by '12'.
b = -0.25

Simplifying
b = -0.25