2abs(3x-1)+2=10

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Solution for 2abs(3x-1)+2=10 equation:


Simplifying
2abs(3x + -1) + 2 = 10

Reorder the terms:
2abs(-1 + 3x) + 2 = 10
(-1 * 2abs + 3x * 2abs) + 2 = 10
(-2abs + 6absx) + 2 = 10

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

Solving
2 + -2abs + 6absx = 10

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2abs + -2 + 6absx = 10 + -2

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

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

Combine like terms: 10 + -2 = 8
-2abs + 6absx = 8

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -1abs + 3absx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -1abs + 3absx)' equal to zero and attempt to solve: Simplifying -4 + -1abs + 3absx = 0 Solving -4 + -1abs + 3absx = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1abs + 4 + 3absx = 0 + 4 Reorder the terms: -4 + 4 + -1abs + 3absx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1abs + 3absx = 0 + 4 -1abs + 3absx = 0 + 4 Combine like terms: 0 + 4 = 4 -1abs + 3absx = 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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