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

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


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

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

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

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

Combine like terms: -8 + 8 = 0
0 + 2x + -4x = x + 2 + -1(x + -8)
2x + -4x = x + 2 + -1(x + -8)

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

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

Reorder the terms:
-2x = 2 + 8 + x + -1x

Combine like terms: 2 + 8 = 10
-2x = 10 + x + -1x

Combine like terms: x + -1x = 0
-2x = 10 + 0
-2x = 10

Solving
-2x = 10

Solving for variable 'x'.

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

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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