2abs(x+4)-6=8

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Solution for 2abs(x+4)-6=8 equation: 


Simplifying
2abs(x + 4) + -6 = 8

Reorder the terms:
2abs(4 + x) + -6 = 8
(4 * 2abs + x * 2abs) + -6 = 8
(8abs + 2absx) + -6 = 8

Reorder the terms:
-6 + 8abs + 2absx = 8

Solving
-6 + 8abs + 2absx = 8

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 8abs + 6 + 2absx = 8 + 6

Reorder the terms:
-6 + 6 + 8abs + 2absx = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 8abs + 2absx = 8 + 6
8abs + 2absx = 8 + 6

Combine like terms: 8 + 6 = 14
8abs + 2absx = 14

Reorder the terms:
-14 + 8abs + 2absx = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + 8abs + 2absx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 4abs + absx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + 4abs + absx)' equal to zero and attempt to solve:

Simplifying
-7 + 4abs + absx = 0

Solving
-7 + 4abs + absx = 0

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

Add '7' to each side of the equation.
-7 + 4abs + 7 + absx = 0 + 7

Reorder the terms:
-7 + 7 + 4abs + absx = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4abs + absx = 0 + 7
4abs + absx = 0 + 7

Combine like terms: 0 + 7 = 7
4abs + absx = 7

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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