2(x-6)-6(x-2)=x+4-(x-4)

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Solution for 2(x-6)-6(x-2)=x+4-(x-4) equation: 


Simplifying
2(x + -6) + -6(x + -2) = x + 4 + -1(x + -4)

Reorder the terms:
2(-6 + x) + -6(x + -2) = x + 4 + -1(x + -4)
(-6 * 2 + x * 2) + -6(x + -2) = x + 4 + -1(x + -4)
(-12 + 2x) + -6(x + -2) = x + 4 + -1(x + -4)

Reorder the terms:
-12 + 2x + -6(-2 + x) = x + 4 + -1(x + -4)
-12 + 2x + (-2 * -6 + x * -6) = x + 4 + -1(x + -4)
-12 + 2x + (12 + -6x) = x + 4 + -1(x + -4)

Reorder the terms:
-12 + 12 + 2x + -6x = x + 4 + -1(x + -4)

Combine like terms: -12 + 12 = 0
0 + 2x + -6x = x + 4 + -1(x + -4)
2x + -6x = x + 4 + -1(x + -4)

Combine like terms: 2x + -6x = -4x
-4x = x + 4 + -1(x + -4)

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

Reorder the terms:
-4x = 4 + 4 + x + -1x

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

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

Solving
-4x = 8

Solving for variable 'x'.

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

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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