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

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


Simplifying
abs(x + -2) + abs(4 + -2x) = 2

Reorder the terms:
abs(-2 + x) + abs(4 + -2x) = 2
(-2 * abs + x * abs) + abs(4 + -2x) = 2
(-2abs + absx) + abs(4 + -2x) = 2
-2abs + absx + (4 * abs + -2x * abs) = 2
-2abs + absx + (4abs + -2absx) = 2

Reorder the terms:
-2abs + 4abs + absx + -2absx = 2

Combine like terms: -2abs + 4abs = 2abs
2abs + absx + -2absx = 2

Combine like terms: absx + -2absx = -1absx
2abs + -1absx = 2

Solving
2abs + -1absx = 2

Solving for variable 'a'.

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

Reorder the terms:
-2 + 2abs + -1absx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 2abs + -1absx = 0

The solution to this equation could not be determined.

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