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

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


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

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

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

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

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

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

Solving
8 + -2x = -8 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
8 + -4x = -8 + 0
8 + -4x = -8

Add '-8' to each side of the equation.
8 + -8 + -4x = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -8 + -8
-4x = -8 + -8

Combine like terms: -8 + -8 = -16
-4x = -16

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

Simplifying
x = 4

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