2(abs(6-3x))+4=16

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Solution for 2(abs(6-3x))+4=16 equation: 


Simplifying
2(abs(6 + -3x)) + 4 = 16
2((6 * abs + -3x * abs)) + 4 = 16
2((6abs + -3absx)) + 4 = 16
(6abs * 2 + -3absx * 2) + 4 = 16
(12abs + -6absx) + 4 = 16

Reorder the terms:
4 + 12abs + -6absx = 16

Solving
4 + 12abs + -6absx = 16

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 + 12abs + -4 + -6absx = 16 + -4

Reorder the terms:
4 + -4 + 12abs + -6absx = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 12abs + -6absx = 16 + -4
12abs + -6absx = 16 + -4

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

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

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

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + 2abs + -1absx) = 0

Ignore the factor 6.

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

Simplifying
-2 + 2abs + -1absx = 0

Solving
-2 + 2abs + -1absx = 0

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

Add '2' to each side of the equation.
-2 + 2abs + 2 + -1absx = 0 + 2

Reorder the terms:
-2 + 2 + 2abs + -1absx = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 2abs + -1absx = 0 + 2
2abs + -1absx = 0 + 2

Combine like terms: 0 + 2 = 2
2abs + -1absx = 2

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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