-2[5-4(2-w)]=3-3(3w+6)

Solution for -2[5-4(2-w)]=3-3(3w+6) equation:

Simplifying
-2[5 + -4(2 + -1w)] = 3 + -3(3w + 6)
-2[5 + (2 * -4 + -1w * -4)] = 3 + -3(3w + 6)
-2[5 + (-8 + 4w)] = 3 + -3(3w + 6)

Combine like terms: 5 + -8 = -3
-2[-3 + 4w] = 3 + -3(3w + 6)
[-3 * -2 + 4w * -2] = 3 + -3(3w + 6)
[6 + -8w] = 3 + -3(3w + 6)

Reorder the terms:
6 + -8w = 3 + -3(6 + 3w)
6 + -8w = 3 + (6 * -3 + 3w * -3)
6 + -8w = 3 + (-18 + -9w)

Combine like terms: 3 + -18 = -15
6 + -8w = -15 + -9w

Solving
6 + -8w = -15 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
6 + -8w + 9w = -15 + -9w + 9w

Combine like terms: -8w + 9w = 1w
6 + 1w = -15 + -9w + 9w

Combine like terms: -9w + 9w = 0
6 + 1w = -15 + 0
6 + 1w = -15

Add '-6' to each side of the equation.
6 + -6 + 1w = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 1w = -15 + -6
1w = -15 + -6

Combine like terms: -15 + -6 = -21
1w = -21

Divide each side by '1'.
w = -21

Simplifying
w = -21