x(x-2)-(2-2x)=(x+3)(x+3)-2(x+3)

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Solution for x(x-2)-(2-2x)=(x+3)(x+3)-2(x+3) equation: 


Simplifying
x(x + -2) + -1(2 + -2x) = (x + 3)(x + 3) + -2(x + 3)

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

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

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

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

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

Multiply (3 + x) * (3 + x)
-2 + x2 = (3(3 + x) + x(3 + x)) + -2(x + 3)
-2 + x2 = ((3 * 3 + x * 3) + x(3 + x)) + -2(x + 3)
-2 + x2 = ((9 + 3x) + x(3 + x)) + -2(x + 3)
-2 + x2 = (9 + 3x + (3 * x + x * x)) + -2(x + 3)
-2 + x2 = (9 + 3x + (3x + x2)) + -2(x + 3)

Combine like terms: 3x + 3x = 6x
-2 + x2 = (9 + 6x + x2) + -2(x + 3)

Reorder the terms:
-2 + x2 = 9 + 6x + x2 + -2(3 + x)
-2 + x2 = 9 + 6x + x2 + (3 * -2 + x * -2)
-2 + x2 = 9 + 6x + x2 + (-6 + -2x)

Reorder the terms:
-2 + x2 = 9 + -6 + 6x + -2x + x2

Combine like terms: 9 + -6 = 3
-2 + x2 = 3 + 6x + -2x + x2

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

Add '-1x2' to each side of the equation.
-2 + x2 + -1x2 = 3 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + 0 = 3 + 4x + x2 + -1x2
-2 = 3 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 = 3 + 4x + 0
-2 = 3 + 4x

Solving
-2 = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + -4x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -4x = 3 + 0
-2 + -4x = 3

Add '2' to each side of the equation.
-2 + 2 + -4x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = 3 + 2
-4x = 3 + 2

Combine like terms: 3 + 2 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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