abs(6+2x)=8

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


Simplifying
abs(6 + 2x) = 8
(6 * abs + 2x * abs) = 8
(6abs + 2absx) = 8

Solving
6abs + 2absx = 8

Solving for variable 'a'.

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 3abs + absx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + 3abs + absx)' equal to zero and attempt to solve: Simplifying -4 + 3abs + absx = 0 Solving -4 + 3abs + absx = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3abs + 4 + absx = 0 + 4 Reorder the terms: -4 + 4 + 3abs + absx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3abs + absx = 0 + 4 3abs + absx = 0 + 4 Combine like terms: 0 + 4 = 4 3abs + absx = 4 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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