6abs(x-3)=-2

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


Simplifying
6abs(x + -3) = -2

Reorder the terms:
6abs(-3 + x) = -2
(-3 * 6abs + x * 6abs) = -2
(-18abs + 6absx) = -2

Solving
-18abs + 6absx = -2

Solving for variable 'a'.

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

Reorder the terms:
2 + -18abs + 6absx = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -18abs + 6absx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -9abs + 3absx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -9abs + 3absx)' equal to zero and attempt to solve: Simplifying 1 + -9abs + 3absx = 0 Solving 1 + -9abs + 3absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -9abs + -1 + 3absx = 0 + -1 Reorder the terms: 1 + -1 + -9abs + 3absx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9abs + 3absx = 0 + -1 -9abs + 3absx = 0 + -1 Combine like terms: 0 + -1 = -1 -9abs + 3absx = -1 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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