3x-[-(2x-3)+2(4-3X)-(4-5X-6X)+7X]-6=-6

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Solution for 3x-[-(2x-3)+2(4-3X)-(4-5X-6X)+7X]-6=-6 equation: 


Simplifying
3x + -1[-1(2x + -3) + 2(4 + -3X) + -1(4 + -5X + -6X) + 7X] + -6 = -6

Reorder the terms:
3x + -1[-1(-3 + 2x) + 2(4 + -3X) + -1(4 + -5X + -6X) + 7X] + -6 = -6
3x + -1[(-3 * -1 + 2x * -1) + 2(4 + -3X) + -1(4 + -5X + -6X) + 7X] + -6 = -6
3x + -1[(3 + -2x) + 2(4 + -3X) + -1(4 + -5X + -6X) + 7X] + -6 = -6
3x + -1[3 + -2x + (4 * 2 + -3X * 2) + -1(4 + -5X + -6X) + 7X] + -6 = -6
3x + -1[3 + -2x + (8 + -6X) + -1(4 + -5X + -6X) + 7X] + -6 = -6

Combine like terms: -5X + -6X = -11X
3x + -1[3 + -2x + 8 + -6X + -1(4 + -11X) + 7X] + -6 = -6
3x + -1[3 + -2x + 8 + -6X + (4 * -1 + -11X * -1) + 7X] + -6 = -6
3x + -1[3 + -2x + 8 + -6X + (-4 + 11X) + 7X] + -6 = -6

Reorder the terms:
3x + -1[3 + 8 + -4 + -6X + 11X + 7X + -2x] + -6 = -6

Combine like terms: 3 + 8 = 11
3x + -1[11 + -4 + -6X + 11X + 7X + -2x] + -6 = -6

Combine like terms: 11 + -4 = 7
3x + -1[7 + -6X + 11X + 7X + -2x] + -6 = -6

Combine like terms: -6X + 11X = 5X
3x + -1[7 + 5X + 7X + -2x] + -6 = -6

Combine like terms: 5X + 7X = 12X
3x + -1[7 + 12X + -2x] + -6 = -6
3x + [7 * -1 + 12X * -1 + -2x * -1] + -6 = -6
3x + [-7 + -12X + 2x] + -6 = -6

Reorder the terms:
-7 + -6 + -12X + 3x + 2x = -6

Combine like terms: -7 + -6 = -13
-13 + -12X + 3x + 2x = -6

Combine like terms: 3x + 2x = 5x
-13 + -12X + 5x = -6

Solving
-13 + -12X + 5x = -6

Solving for variable 'X'.

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

Add '13' to each side of the equation.
-13 + -12X + 13 + 5x = -6 + 13

Reorder the terms:
-13 + 13 + -12X + 5x = -6 + 13

Combine like terms: -13 + 13 = 0
0 + -12X + 5x = -6 + 13
-12X + 5x = -6 + 13

Combine like terms: -6 + 13 = 7
-12X + 5x = 7

Add '-5x' to each side of the equation.
-12X + 5x + -5x = 7 + -5x

Combine like terms: 5x + -5x = 0
-12X + 0 = 7 + -5x
-12X = 7 + -5x

Divide each side by '-12'.
X = -0.5833333333 + 0.4166666667x

Simplifying
X = -0.5833333333 + 0.4166666667x

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