abs(9x+9)=abs(8x+3)

Solution for abs(9x+9)=abs(8x+3) equation:

Simplifying
abs(9x + 9) = abs(8x + 3)

Reorder the terms:
abs(9 + 9x) = abs(8x + 3)
(9 * abs + 9x * abs) = abs(8x + 3)
(9abs + 9absx) = abs(8x + 3)

Reorder the terms:
9abs + 9absx = abs(3 + 8x)
9abs + 9absx = (3 * abs + 8x * abs)
9abs + 9absx = (3abs + 8absx)

Solving
9abs + 9absx = 3abs + 8absx

Solving for variable 'a'.

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

Add '-3abs' to each side of the equation.
9abs + -3abs + 9absx = 3abs + -3abs + 8absx

Combine like terms: 9abs + -3abs = 6abs
6abs + 9absx = 3abs + -3abs + 8absx

Combine like terms: 3abs + -3abs = 0
6abs + 9absx = 0 + 8absx
6abs + 9absx = 8absx

Add '-8absx' to each side of the equation.
6abs + 9absx + -8absx = 8absx + -8absx

Combine like terms: 9absx + -8absx = 1absx
6abs + 1absx = 8absx + -8absx

Combine like terms: 8absx + -8absx = 0
6abs + 1absx = 0

Factor out the Greatest Common Factor (GCF), 'abs'.
abs(6 + x) = 0

Subproblem 1
Set the factor 'abs' equal to zero and attempt to solve:

Simplifying
abs = 0

Solving
abs = 0

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

Simplifying
abs = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Add '-1x' to each side of the equation.
x + -1x = -6 + -1x

Combine like terms: x + -1x = 0
0 = -6 + -1x

Simplifying
0 = -6 + -1x

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.