abs(2x+6)=10

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Solution for abs(2x+6)=10 equation:


Simplifying
abs(2x + 6) = 10

Reorder the terms:
abs(6 + 2x) = 10
(6 * abs + 2x * abs) = 10
(6abs + 2absx) = 10

Solving
6abs + 2absx = 10

Solving for variable 'a'.

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

Reorder the terms:
-10 + 6abs + 2absx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 6abs + 2absx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 3abs + absx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + 3abs + absx)' equal to zero and attempt to solve: Simplifying -5 + 3abs + absx = 0 Solving -5 + 3abs + absx = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3abs + 5 + absx = 0 + 5 Reorder the terms: -5 + 5 + 3abs + absx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3abs + absx = 0 + 5 3abs + absx = 0 + 5 Combine like terms: 0 + 5 = 5 3abs + absx = 5 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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