Abs(3x-1)+abs(5x-2)=5

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Solution for Abs(3x-1)+abs(5x-2)=5 equation: 


Simplifying
Abs(3x + -1) + abs(5x + -2) = 5

Reorder the terms:
bsA(-1 + 3x) + abs(5x + -2) = 5
(-1 * bsA + 3x * bsA) + abs(5x + -2) = 5
(-1bsA + 3bsxA) + abs(5x + -2) = 5

Reorder the terms:
-1bsA + 3bsxA + abs(-2 + 5x) = 5
-1bsA + 3bsxA + (-2 * abs + 5x * abs) = 5
-1bsA + 3bsxA + (-2abs + 5absx) = 5

Reorder the terms:
-2abs + 5absx + -1bsA + 3bsxA = 5

Solving
-2abs + 5absx + -1bsA + 3bsxA = 5

Solving for variable 'a'.

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

Add 'bsA' to each side of the equation.
-2abs + 5absx + -1bsA + bsA + 3bsxA = 5 + bsA

Combine like terms: -1bsA + bsA = 0
-2abs + 5absx + 0 + 3bsxA = 5 + bsA
-2abs + 5absx + 3bsxA = 5 + bsA

Add '-3bsxA' to each side of the equation.
-2abs + 5absx + 3bsxA + -3bsxA = 5 + bsA + -3bsxA

Combine like terms: 3bsxA + -3bsxA = 0
-2abs + 5absx + 0 = 5 + bsA + -3bsxA
-2abs + 5absx = 5 + bsA + -3bsxA

Reorder the terms:
-5 + -2abs + 5absx + -1bsA + 3bsxA = 5 + bsA + -3bsxA + -5 + -1bsA + 3bsxA

Reorder the terms:
-5 + -2abs + 5absx + -1bsA + 3bsxA = 5 + -5 + bsA + -1bsA + -3bsxA + 3bsxA

Combine like terms: 5 + -5 = 0
-5 + -2abs + 5absx + -1bsA + 3bsxA = 0 + bsA + -1bsA + -3bsxA + 3bsxA
-5 + -2abs + 5absx + -1bsA + 3bsxA = bsA + -1bsA + -3bsxA + 3bsxA

Combine like terms: bsA + -1bsA = 0
-5 + -2abs + 5absx + -1bsA + 3bsxA = 0 + -3bsxA + 3bsxA
-5 + -2abs + 5absx + -1bsA + 3bsxA = -3bsxA + 3bsxA

Combine like terms: -3bsxA + 3bsxA = 0
-5 + -2abs + 5absx + -1bsA + 3bsxA = 0

The solution to this equation could not be determined.

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