abs(5X-3)=abs(8-3X)

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Solution for abs(5X-3)=abs(8-3X) equation: 


Simplifying
abs(5X + -3) = abs(8 + -3X)

Reorder the terms:
abs(-3 + 5X) = abs(8 + -3X)
(-3 * abs + 5X * abs) = abs(8 + -3X)
(-3abs + 5absX) = abs(8 + -3X)
-3abs + 5absX = (8 * abs + -3X * abs)
-3abs + 5absX = (8abs + -3absX)

Solving
-3abs + 5absX = 8abs + -3absX

Solving for variable 'a'.

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

Add '-8abs' to each side of the equation.
-3abs + -8abs + 5absX = 8abs + -8abs + -3absX

Combine like terms: -3abs + -8abs = -11abs
-11abs + 5absX = 8abs + -8abs + -3absX

Combine like terms: 8abs + -8abs = 0
-11abs + 5absX = 0 + -3absX
-11abs + 5absX = -3absX

Add '3absX' to each side of the equation.
-11abs + 5absX + 3absX = -3absX + 3absX

Combine like terms: 5absX + 3absX = 8absX
-11abs + 8absX = -3absX + 3absX

Combine like terms: -3absX + 3absX = 0
-11abs + 8absX = 0

Factor out the Greatest Common Factor (GCF), 'abs'.
abs(-11 + 8X) = 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 '(-11 + 8X)' equal to zero and attempt to solve:

Simplifying
-11 + 8X = 0

Solving
-11 + 8X = 0

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

Add '11' to each side of the equation.
-11 + 11 + 8X = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 8X = 0 + 11
8X = 0 + 11

Combine like terms: 0 + 11 = 11
8X = 11

Add '-8X' to each side of the equation.
8X + -8X = 11 + -8X

Combine like terms: 8X + -8X = 0
0 = 11 + -8X

Simplifying
0 = 11 + -8X

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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