4x+x(2x-1)=x(x-2)-x(-x+1)-6

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


Simplifying
4x + x(2x + -1) = x(x + -2) + -1x(-1x + 1) + -6

Reorder the terms:
4x + x(-1 + 2x) = x(x + -2) + -1x(-1x + 1) + -6
4x + (-1 * x + 2x * x) = x(x + -2) + -1x(-1x + 1) + -6
4x + (-1x + 2x2) = x(x + -2) + -1x(-1x + 1) + -6

Combine like terms: 4x + -1x = 3x
3x + 2x2 = x(x + -2) + -1x(-1x + 1) + -6

Reorder the terms:
3x + 2x2 = x(-2 + x) + -1x(-1x + 1) + -6
3x + 2x2 = (-2 * x + x * x) + -1x(-1x + 1) + -6
3x + 2x2 = (-2x + x2) + -1x(-1x + 1) + -6

Reorder the terms:
3x + 2x2 = -2x + x2 + -1x(1 + -1x) + -6
3x + 2x2 = -2x + x2 + (1 * -1x + -1x * -1x) + -6
3x + 2x2 = -2x + x2 + (-1x + 1x2) + -6

Reorder the terms:
3x + 2x2 = -6 + -2x + -1x + x2 + 1x2

Combine like terms: -2x + -1x = -3x
3x + 2x2 = -6 + -3x + x2 + 1x2

Combine like terms: x2 + 1x2 = 2x2
3x + 2x2 = -6 + -3x + 2x2

Add '-2x2' to each side of the equation.
3x + 2x2 + -2x2 = -6 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3x + 0 = -6 + -3x + 2x2 + -2x2
3x = -6 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3x = -6 + -3x + 0
3x = -6 + -3x

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

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

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

Divide each side by '6'.
x = -1

Simplifying
x = -1

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