abs(x+2)+abs(6+2x)=8

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Solution for abs(x+2)+abs(6+2x)=8 equation: 


Simplifying
abs(x + 2) + abs(6 + 2x) = 8

Reorder the terms:
abs(2 + x) + abs(6 + 2x) = 8
(2 * abs + x * abs) + abs(6 + 2x) = 8
(2abs + absx) + abs(6 + 2x) = 8
2abs + absx + (6 * abs + 2x * abs) = 8
2abs + absx + (6abs + 2absx) = 8

Reorder the terms:
2abs + 6abs + absx + 2absx = 8

Combine like terms: 2abs + 6abs = 8abs
8abs + absx + 2absx = 8

Combine like terms: absx + 2absx = 3absx
8abs + 3absx = 8

Solving
8abs + 3absx = 8

Solving for variable 'a'.

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

Reorder the terms:
-8 + 8abs + 3absx = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 8abs + 3absx = 0

The solution to this equation could not be determined.

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