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

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


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

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

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

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

Reorder the terms:
6 + -1x = -3 + -1[3(-4 + 2x) + -3x]
6 + -1x = -3 + -1[(-4 * 3 + 2x * 3) + -3x]
6 + -1x = -3 + -1[(-12 + 6x) + -3x]

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

Combine like terms: -3 + 12 = 9
6 + -1x = 9 + -3x

Solving
6 + -1x = 9 + -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.
6 + -1x + 3x = 9 + -3x + 3x

Combine like terms: -1x + 3x = 2x
6 + 2x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 2x = 9 + 0
6 + 2x = 9

Add '-6' to each side of the equation.
6 + -6 + 2x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 9 + -6
2x = 9 + -6

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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