3*(2x-6)-[(x-(3x-8)+2)-1]=2-(3-2x)

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Solution for 3*(2x-6)-[(x-(3x-8)+2)-1]=2-(3-2x) equation: 


Simplifying
3(2x + -6) + -1[(x + -1(3x + -8) + 2) + -1] = 2 + -1(3 + -2x)

Reorder the terms:
3(-6 + 2x) + -1[(x + -1(3x + -8) + 2) + -1] = 2 + -1(3 + -2x)
(-6 * 3 + 2x * 3) + -1[(x + -1(3x + -8) + 2) + -1] = 2 + -1(3 + -2x)
(-18 + 6x) + -1[(x + -1(3x + -8) + 2) + -1] = 2 + -1(3 + -2x)

Reorder the terms:
-18 + 6x + -1[(x + -1(-8 + 3x) + 2) + -1] = 2 + -1(3 + -2x)
-18 + 6x + -1[(x + (-8 * -1 + 3x * -1) + 2) + -1] = 2 + -1(3 + -2x)
-18 + 6x + -1[(x + (8 + -3x) + 2) + -1] = 2 + -1(3 + -2x)

Reorder the terms:
-18 + 6x + -1[(8 + 2 + x + -3x) + -1] = 2 + -1(3 + -2x)

Combine like terms: 8 + 2 = 10
-18 + 6x + -1[(10 + x + -3x) + -1] = 2 + -1(3 + -2x)

Combine like terms: x + -3x = -2x
-18 + 6x + -1[(10 + -2x) + -1] = 2 + -1(3 + -2x)

Remove parenthesis around (10 + -2x)
-18 + 6x + -1[10 + -2x + -1] = 2 + -1(3 + -2x)

Reorder the terms:
-18 + 6x + -1[10 + -1 + -2x] = 2 + -1(3 + -2x)

Combine like terms: 10 + -1 = 9
-18 + 6x + -1[9 + -2x] = 2 + -1(3 + -2x)
-18 + 6x + [9 * -1 + -2x * -1] = 2 + -1(3 + -2x)
-18 + 6x + [-9 + 2x] = 2 + -1(3 + -2x)

Reorder the terms:
-18 + -9 + 6x + 2x = 2 + -1(3 + -2x)

Combine like terms: -18 + -9 = -27
-27 + 6x + 2x = 2 + -1(3 + -2x)

Combine like terms: 6x + 2x = 8x
-27 + 8x = 2 + -1(3 + -2x)
-27 + 8x = 2 + (3 * -1 + -2x * -1)
-27 + 8x = 2 + (-3 + 2x)

Combine like terms: 2 + -3 = -1
-27 + 8x = -1 + 2x

Solving
-27 + 8x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-27 + 8x + -2x = -1 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-27 + 6x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-27 + 6x = -1 + 0
-27 + 6x = -1

Add '27' to each side of the equation.
-27 + 27 + 6x = -1 + 27

Combine like terms: -27 + 27 = 0
0 + 6x = -1 + 27
6x = -1 + 27

Combine like terms: -1 + 27 = 26
6x = 26

Divide each side by '6'.
x = 4.333333333

Simplifying
x = 4.333333333

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