2abs(3x-1)-4=12

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Solution for 2abs(3x-1)-4=12 equation:


Simplifying
2abs(3x + -1) + -4 = 12

Reorder the terms:
2abs(-1 + 3x) + -4 = 12
(-1 * 2abs + 3x * 2abs) + -4 = 12
(-2abs + 6absx) + -4 = 12

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

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

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + -2abs + 4 + 6absx = 12 + 4

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

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

Combine like terms: 12 + 4 = 16
-2abs + 6absx = 16

Reorder the terms:
-16 + -2abs + 6absx = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + -2abs + 6absx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -1abs + 3absx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-8 + -1abs + 3absx)' equal to zero and attempt to solve: Simplifying -8 + -1abs + 3absx = 0 Solving -8 + -1abs + 3absx = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -1abs + 8 + 3absx = 0 + 8 Reorder the terms: -8 + 8 + -1abs + 3absx = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1abs + 3absx = 0 + 8 -1abs + 3absx = 0 + 8 Combine like terms: 0 + 8 = 8 -1abs + 3absx = 8 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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