abs(-6x+9)+6=3

Solution for abs(-6x+9)+6=3 equation:

Simplifying
abs(-6x + 9) + 6 = 3

Reorder the terms:
abs(9 + -6x) + 6 = 3
(9 * abs + -6x * abs) + 6 = 3
(9abs + -6absx) + 6 = 3

Reorder the terms:
6 + 9abs + -6absx = 3

Solving
6 + 9abs + -6absx = 3

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + 9abs + -6 + -6absx = 3 + -6

Reorder the terms:
6 + -6 + 9abs + -6absx = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 9abs + -6absx = 3 + -6
9abs + -6absx = 3 + -6

Combine like terms: 3 + -6 = -3
9abs + -6absx = -3

Reorder the terms:
3 + 9abs + -6absx = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 9abs + -6absx = 0

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

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + 3abs + -2absx)' equal to zero and attempt to solve:

Simplifying
1 + 3abs + -2absx = 0

Solving
1 + 3abs + -2absx = 0

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

Add '-1' to each side of the equation.
1 + 3abs + -1 + -2absx = 0 + -1

Reorder the terms:
1 + -1 + 3abs + -2absx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3abs + -2absx = 0 + -1
3abs + -2absx = 0 + -1

Combine like terms: 0 + -1 = -1
3abs + -2absx = -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.