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

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Solution for 6-(3x-3)-[2(-4x-1)]=(-3x+2) equation:


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

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

Reorder the terms:
6 + 3 + -3x + -1[2(-1 + -4x)] = (-3x + 2)
6 + 3 + -3x + -1[(-1 * 2 + -4x * 2)] = (-3x + 2)
6 + 3 + -3x + -1[(-2 + -8x)] = (-3x + 2)
6 + 3 + -3x + [-2 * -1 + -8x * -1] = (-3x + 2)
6 + 3 + -3x + [2 + 8x] = (-3x + 2)

Reorder the terms:
6 + 3 + 2 + -3x + 8x = (-3x + 2)

Combine like terms: 6 + 3 = 9
9 + 2 + -3x + 8x = (-3x + 2)

Combine like terms: 9 + 2 = 11
11 + -3x + 8x = (-3x + 2)

Combine like terms: -3x + 8x = 5x
11 + 5x = (-3x + 2)

Reorder the terms:
11 + 5x = (2 + -3x)

Remove parenthesis around (2 + -3x)
11 + 5x = 2 + -3x

Solving
11 + 5x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
11 + 5x + 3x = 2 + -3x + 3x

Combine like terms: 5x + 3x = 8x
11 + 8x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + 8x = 2 + 0
11 + 8x = 2

Add '-11' to each side of the equation.
11 + -11 + 8x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + 8x = 2 + -11
8x = 2 + -11

Combine like terms: 2 + -11 = -9
8x = -9

Divide each side by '8'.
x = -1.125

Simplifying
x = -1.125

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