2(x-2)-4(x-3)=-2x+1

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Solution for 2(x-2)-4(x-3)=-2x+1 equation: 


Simplifying
2(x + -2) + -4(x + -3) = -2x + 1

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

Reorder the terms:
-4 + 2x + -4(-3 + x) = -2x + 1
-4 + 2x + (-3 * -4 + x * -4) = -2x + 1
-4 + 2x + (12 + -4x) = -2x + 1

Reorder the terms:
-4 + 12 + 2x + -4x = -2x + 1

Combine like terms: -4 + 12 = 8
8 + 2x + -4x = -2x + 1

Combine like terms: 2x + -4x = -2x
8 + -2x = -2x + 1

Reorder the terms:
8 + -2x = 1 + -2x

Add '2x' to each side of the equation.
8 + -2x + 2x = 1 + -2x + 2x

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

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

Solving
8 = 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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