abs(2x+12)=4x

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


Simplifying
abs(2x + 12) = 4x

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

Solving
12abs + 2absx = 4x

Solving for variable 'a'.

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

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

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

Ignore the factor 2.

Subproblem 1
Set the factor '(6abs + absx + -2x)' equal to zero and attempt to solve:

Simplifying
6abs + absx + -2x = 0

Solving
6abs + absx + -2x = 0

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

Add '2x' to each side of the equation.
6abs + absx + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
6abs + absx + 0 = 0 + 2x
6abs + absx = 0 + 2x
Remove the zero:
6abs + absx = 2x

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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