abs(x+6)=3x-2

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Solution for abs(x+6)=3x-2 equation:


Simplifying
abs(x + 6) = 3x + -2

Reorder the terms:
abs(6 + x) = 3x + -2
(6 * abs + x * abs) = 3x + -2
(6abs + absx) = 3x + -2

Reorder the terms:
6abs + absx = -2 + 3x

Solving
6abs + absx = -2 + 3x

Solving for variable 'a'.

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

Reorder the terms:
2 + 6abs + absx + -3x = -2 + 3x + 2 + -3x

Reorder the terms:
2 + 6abs + absx + -3x = -2 + 2 + 3x + -3x

Combine like terms: -2 + 2 = 0
2 + 6abs + absx + -3x = 0 + 3x + -3x
2 + 6abs + absx + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 6abs + absx + -3x = 0

The solution to this equation could not be determined.

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