3x+1=abs(3x-5)

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Solution for 3x+1=abs(3x-5) equation:


Simplifying
3x + 1 = abs(3x + -5)

Reorder the terms:
1 + 3x = abs(3x + -5)

Reorder the terms:
1 + 3x = abs(-5 + 3x)
1 + 3x = (-5 * abs + 3x * abs)
1 + 3x = (-5abs + 3absx)

Solving
1 + 3x = -5abs + 3absx

Solving for variable 'x'.

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

Add '-3absx' to each side of the equation.
1 + -3absx + 3x = -5abs + 3absx + -3absx

Combine like terms: 3absx + -3absx = 0
1 + -3absx + 3x = -5abs + 0
1 + -3absx + 3x = -5abs

Add '-1' to each side of the equation.
1 + -3absx + -1 + 3x = -1 + -5abs

Reorder the terms:
1 + -1 + -3absx + 3x = -1 + -5abs

Combine like terms: 1 + -1 = 0
0 + -3absx + 3x = -1 + -5abs
-3absx + 3x = -1 + -5abs

Reorder the terms:
1 + 5abs + -3absx + 3x = -1 + -5abs + 1 + 5abs

Reorder the terms:
1 + 5abs + -3absx + 3x = -1 + 1 + -5abs + 5abs

Combine like terms: -1 + 1 = 0
1 + 5abs + -3absx + 3x = 0 + -5abs + 5abs
1 + 5abs + -3absx + 3x = -5abs + 5abs

Combine like terms: -5abs + 5abs = 0
1 + 5abs + -3absx + 3x = 0

The solution to this equation could not be determined.

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