2(x-2)-4(x-3)=-2x+8

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Solution for 2(x-2)-4(x-3)=-2x+8 equation: 


Simplifying
2(x + -2) + -4(x + -3) = -2x + 8

Reorder the terms:
2(-2 + x) + -4(x + -3) = -2x + 8
(-2 * 2 + x * 2) + -4(x + -3) = -2x + 8
(-4 + 2x) + -4(x + -3) = -2x + 8

Reorder the terms:
-4 + 2x + -4(-3 + x) = -2x + 8
-4 + 2x + (-3 * -4 + x * -4) = -2x + 8
-4 + 2x + (12 + -4x) = -2x + 8

Reorder the terms:
-4 + 12 + 2x + -4x = -2x + 8

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

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

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

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

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

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

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

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

Combine like terms: -2x + 2x = 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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