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

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


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

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

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

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

Combine like terms: -8 + 2 = -6
-6 + 2x + -1x = (x + -8)

Combine like terms: 2x + -1x = 1x
-6 + 1x = (x + -8)

Reorder the terms:
-6 + 1x = (-8 + x)

Remove parenthesis around (-8 + x)
-6 + 1x = -8 + x

Solving
-6 + 1x = -8 + 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.
-6 + 1x + -1x = -8 + x + -1x

Combine like terms: 1x + -1x = 0
-6 + 0 = -8 + x + -1x
-6 = -8 + x + -1x

Combine like terms: x + -1x = 0
-6 = -8 + 0
-6 = -8

Add '6' to each side of the equation.
-6 + 6 = -8 + 6

Combine like terms: -6 + 6 = 0
0 = -8 + 6

Combine like terms: -8 + 6 = -2
0 = -2

Simplifying
0 = -2

Combine like terms: 0 + 2 = 2
2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 = 0

The solution to this equation could not be determined.

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