abs(2x+12)=6x-4

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Solution for abs(2x+12)=6x-4 equation:


Simplifying
abs(2x + 12) = 6x + -4

Reorder the terms:
abs(12 + 2x) = 6x + -4
(12 * abs + 2x * abs) = 6x + -4
(12abs + 2absx) = 6x + -4

Reorder the terms:
12abs + 2absx = -4 + 6x

Solving
12abs + 2absx = -4 + 6x

Solving for variable 'a'.

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

Reorder the terms:
4 + 12abs + 2absx + -6x = -4 + 6x + 4 + -6x

Reorder the terms:
4 + 12abs + 2absx + -6x = -4 + 4 + 6x + -6x

Combine like terms: -4 + 4 = 0
4 + 12abs + 2absx + -6x = 0 + 6x + -6x
4 + 12abs + 2absx + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
4 + 12abs + 2absx + -6x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 6abs + absx + -3x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + 6abs + absx + -3x)' equal to zero and attempt to solve: Simplifying 2 + 6abs + absx + -3x = 0 Solving 2 + 6abs + absx + -3x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6abs + absx + -2 + -3x = 0 + -2 Reorder the terms: 2 + -2 + 6abs + absx + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6abs + absx + -3x = 0 + -2 6abs + absx + -3x = 0 + -2 Combine like terms: 0 + -2 = -2 6abs + absx + -3x = -2 Add '3x' to each side of the equation. 6abs + absx + -3x + 3x = -2 + 3x Combine like terms: -3x + 3x = 0 6abs + absx + 0 = -2 + 3x 6abs + absx = -2 + 3x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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