abs(3x+5)=abs(-5)

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Solution for abs(3x+5)=abs(-5) equation: 


Simplifying
abs(3x + 5) = abs(-5)

Reorder the terms:
abs(5 + 3x) = abs(-5)
(5 * abs + 3x * abs) = abs(-5)
(5abs + 3absx) = abs(-5)

Reorder the terms for easier multiplication:
5abs + 3absx = -5abs

Solving
5abs + 3absx = -5abs

Solving for variable 'a'.

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

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

Combine like terms: 5abs + 5abs = 10abs
10abs + 3absx = -5abs + 5abs

Combine like terms: -5abs + 5abs = 0
10abs + 3absx = 0

Factor out the Greatest Common Factor (GCF), 'abs'.
abs(10 + 3x) = 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 '(10 + 3x)' equal to zero and attempt to solve:

Simplifying
10 + 3x = 0

Solving
10 + 3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 0 + -10
3x = 0 + -10

Combine like terms: 0 + -10 = -10
3x = -10

Add '-3x' to each side of the equation.
3x + -3x = -10 + -3x

Combine like terms: 3x + -3x = 0
0 = -10 + -3x

Simplifying
0 = -10 + -3x

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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