abs(2x-4)=6

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


Simplifying
abs(2x + -4) = 6

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

Solving
-4abs + 2absx = 6

Solving for variable 'a'.

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

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

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

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -2abs + absx)' equal to zero and attempt to solve: Simplifying -3 + -2abs + absx = 0 Solving -3 + -2abs + absx = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2abs + 3 + absx = 0 + 3 Reorder the terms: -3 + 3 + -2abs + absx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2abs + absx = 0 + 3 -2abs + absx = 0 + 3 Combine like terms: 0 + 3 = 3 -2abs + absx = 3 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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