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

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


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

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

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

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

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

Combine like terms: -3x + x = -2x
4 + -2x = 2[8 + -2x]
4 + -2x = [8 * 2 + -2x * 2]
4 + -2x = [16 + -4x]

Solving
4 + -2x = 16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
4 + -2x + 4x = 16 + -4x + 4x

Combine like terms: -2x + 4x = 2x
4 + 2x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
4 + 2x = 16 + 0
4 + 2x = 16

Add '-4' to each side of the equation.
4 + -4 + 2x = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 16 + -4
2x = 16 + -4

Combine like terms: 16 + -4 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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