abs(abs(2x-1)-5)+x=abs(6-x)

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Solution for abs(abs(2x-1)-5)+x=abs(6-x) equation:


Simplifying
abs(abs(2x + -1) + -5) + x = abs(6 + -1x)

Reorder the terms:
abs(abs(-1 + 2x) + -5) + x = abs(6 + -1x)
abs((-1 * abs + 2x * abs) + -5) + x = abs(6 + -1x)
abs((-1abs + 2absx) + -5) + x = abs(6 + -1x)

Reorder the terms:
abs(-5 + -1abs + 2absx) + x = abs(6 + -1x)
(-5 * abs + -1abs * abs + 2absx * abs) + x = abs(6 + -1x)
(-5abs + -1a2b2s2 + 2a2b2s2x) + x = abs(6 + -1x)
-5abs + -1a2b2s2 + 2a2b2s2x + x = (6 * abs + -1x * abs)
-5abs + -1a2b2s2 + 2a2b2s2x + x = (6abs + -1absx)

Solving
-5abs + -1a2b2s2 + 2a2b2s2x + x = 6abs + -1absx

Solving for variable 'a'.

Reorder the terms:
-5abs + -6abs + absx + -1a2b2s2 + 2a2b2s2x + x = 6abs + -1absx + -6abs + absx

Combine like terms: -5abs + -6abs = -11abs
-11abs + absx + -1a2b2s2 + 2a2b2s2x + x = 6abs + -1absx + -6abs + absx

Reorder the terms:
-11abs + absx + -1a2b2s2 + 2a2b2s2x + x = 6abs + -6abs + -1absx + absx

Combine like terms: 6abs + -6abs = 0
-11abs + absx + -1a2b2s2 + 2a2b2s2x + x = 0 + -1absx + absx
-11abs + absx + -1a2b2s2 + 2a2b2s2x + x = -1absx + absx

Combine like terms: -1absx + absx = 0
-11abs + absx + -1a2b2s2 + 2a2b2s2x + x = 0

The solution to this equation could not be determined.

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