-x(3+4-6)+6-(4x-2)=-11x+6(-2x-7)+3x

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Solution for -x(3+4-6)+6-(4x-2)=-11x+6(-2x-7)+3x equation: 


Simplifying
-1x(3 + 4 + -6) + 6 + -1(4x + -2) = -11x + 6(-2x + -7) + 3x

Combine like terms: 3 + 4 = 7
-1x(7 + -6) + 6 + -1(4x + -2) = -11x + 6(-2x + -7) + 3x

Combine like terms: 7 + -6 = 1
-1x(1) + 6 + -1(4x + -2) = -11x + 6(-2x + -7) + 3x

Reorder the terms for easier multiplication:
-1 * 1x + 6 + -1(4x + -2) = -11x + 6(-2x + -7) + 3x

Multiply -1 * 1
-1x + 6 + -1(4x + -2) = -11x + 6(-2x + -7) + 3x

Reorder the terms:
-1x + 6 + -1(-2 + 4x) = -11x + 6(-2x + -7) + 3x
-1x + 6 + (-2 * -1 + 4x * -1) = -11x + 6(-2x + -7) + 3x
-1x + 6 + (2 + -4x) = -11x + 6(-2x + -7) + 3x

Reorder the terms:
6 + 2 + -1x + -4x = -11x + 6(-2x + -7) + 3x

Combine like terms: 6 + 2 = 8
8 + -1x + -4x = -11x + 6(-2x + -7) + 3x

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

Reorder the terms:
8 + -5x = -11x + 6(-7 + -2x) + 3x
8 + -5x = -11x + (-7 * 6 + -2x * 6) + 3x
8 + -5x = -11x + (-42 + -12x) + 3x

Reorder the terms:
8 + -5x = -42 + -11x + -12x + 3x

Combine like terms: -11x + -12x = -23x
8 + -5x = -42 + -23x + 3x

Combine like terms: -23x + 3x = -20x
8 + -5x = -42 + -20x

Solving
8 + -5x = -42 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
8 + -5x + 20x = -42 + -20x + 20x

Combine like terms: -5x + 20x = 15x
8 + 15x = -42 + -20x + 20x

Combine like terms: -20x + 20x = 0
8 + 15x = -42 + 0
8 + 15x = -42

Add '-8' to each side of the equation.
8 + -8 + 15x = -42 + -8

Combine like terms: 8 + -8 = 0
0 + 15x = -42 + -8
15x = -42 + -8

Combine like terms: -42 + -8 = -50
15x = -50

Divide each side by '15'.
x = -3.333333333

Simplifying
x = -3.333333333

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