4(3x+2)-[3-3(2x-1)]=-16

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Solution for 4(3x+2)-[3-3(2x-1)]=-16 equation:


Simplifying
4(3x + 2) + -1[3 + -3(2x + -1)] = -16

Reorder the terms:
4(2 + 3x) + -1[3 + -3(2x + -1)] = -16
(2 * 4 + 3x * 4) + -1[3 + -3(2x + -1)] = -16
(8 + 12x) + -1[3 + -3(2x + -1)] = -16

Reorder the terms:
8 + 12x + -1[3 + -3(-1 + 2x)] = -16
8 + 12x + -1[3 + (-1 * -3 + 2x * -3)] = -16
8 + 12x + -1[3 + (3 + -6x)] = -16

Combine like terms: 3 + 3 = 6
8 + 12x + -1[6 + -6x] = -16
8 + 12x + [6 * -1 + -6x * -1] = -16
8 + 12x + [-6 + 6x] = -16

Reorder the terms:
8 + -6 + 12x + 6x = -16

Combine like terms: 8 + -6 = 2
2 + 12x + 6x = -16

Combine like terms: 12x + 6x = 18x
2 + 18x = -16

Solving
2 + 18x = -16

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 18x = -16 + -2

Combine like terms: 2 + -2 = 0
0 + 18x = -16 + -2
18x = -16 + -2

Combine like terms: -16 + -2 = -18
18x = -18

Divide each side by '18'.
x = -1

Simplifying
x = -1

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