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

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Solution for 3-2x(x-1)=x(3-2x)-(x-3) equation: 


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

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

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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: -2x2 + 2x2 = 0
0 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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