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

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


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

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

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

Remove parenthesis around (4 + -3x)
4 + -3x + -1(x + -2x + 1) = -2x + 1

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

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

Reorder the terms:
4 + -1 + -3x + 1x = -2x + 1

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

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

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

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

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

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

Solving
3 = 1

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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