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

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


Simplifying
6 + -1(1 + -2x) + x(4 + -1x) = 1 + -1x(2 + x)
6 + (1 * -1 + -2x * -1) + x(4 + -1x) = 1 + -1x(2 + x)
6 + (-1 + 2x) + x(4 + -1x) = 1 + -1x(2 + x)
6 + -1 + 2x + (4 * x + -1x * x) = 1 + -1x(2 + x)
6 + -1 + 2x + (4x + -1x2) = 1 + -1x(2 + x)

Combine like terms: 6 + -1 = 5
5 + 2x + 4x + -1x2 = 1 + -1x(2 + x)

Combine like terms: 2x + 4x = 6x
5 + 6x + -1x2 = 1 + -1x(2 + x)
5 + 6x + -1x2 = 1 + (2 * -1x + x * -1x)
5 + 6x + -1x2 = 1 + (-2x + -1x2)

Add 'x2' to each side of the equation.
5 + 6x + -1x2 + x2 = 1 + -2x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + 6x + 0 = 1 + -2x + -1x2 + x2
5 + 6x = 1 + -2x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + 6x = 1 + -2x + 0
5 + 6x = 1 + -2x

Solving
5 + 6x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
5 + 6x + 2x = 1 + -2x + 2x

Combine like terms: 6x + 2x = 8x
5 + 8x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 8x = 1 + 0
5 + 8x = 1

Add '-5' to each side of the equation.
5 + -5 + 8x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 1 + -5
8x = 1 + -5

Combine like terms: 1 + -5 = -4
8x = -4

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5

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