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

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


Simplifying
2(x + -4) = 4 + -1(x + -8)

Reorder the terms:
2(-4 + x) = 4 + -1(x + -8)
(-4 * 2 + x * 2) = 4 + -1(x + -8)
(-8 + 2x) = 4 + -1(x + -8)

Reorder the terms:
-8 + 2x = 4 + -1(-8 + x)
-8 + 2x = 4 + (-8 * -1 + x * -1)
-8 + 2x = 4 + (8 + -1x)

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

Solving
-8 + 2x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 2x + x = 12 + -1x + x

Combine like terms: 2x + x = 3x
-8 + 3x = 12 + -1x + x

Combine like terms: -1x + x = 0
-8 + 3x = 12 + 0
-8 + 3x = 12

Add '8' to each side of the equation.
-8 + 8 + 3x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 12 + 8
3x = 12 + 8

Combine like terms: 12 + 8 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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