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

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


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

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

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

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

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

Solving
8 + -2x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + -2x + -1x = -4 + x + -1x

Combine like terms: -2x + -1x = -3x
8 + -3x = -4 + x + -1x

Combine like terms: x + -1x = 0
8 + -3x = -4 + 0
8 + -3x = -4

Add '-8' to each side of the equation.
8 + -8 + -3x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -4 + -8
-3x = -4 + -8

Combine like terms: -4 + -8 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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