abs(3x+2)+abs(2x-1)=4

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Solution for abs(3x+2)+abs(2x-1)=4 equation:


Simplifying
abs(3x + 2) + abs(2x + -1) = 4

Reorder the terms:
abs(2 + 3x) + abs(2x + -1) = 4
(2 * abs + 3x * abs) + abs(2x + -1) = 4
(2abs + 3absx) + abs(2x + -1) = 4

Reorder the terms:
2abs + 3absx + abs(-1 + 2x) = 4
2abs + 3absx + (-1 * abs + 2x * abs) = 4
2abs + 3absx + (-1abs + 2absx) = 4

Reorder the terms:
2abs + -1abs + 3absx + 2absx = 4

Combine like terms: 2abs + -1abs = 1abs
1abs + 3absx + 2absx = 4

Combine like terms: 3absx + 2absx = 5absx
1abs + 5absx = 4

Solving
1abs + 5absx = 4

Solving for variable 'a'.

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

Reorder the terms:
-4 + 1abs + 5absx = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 1abs + 5absx = 0

The solution to this equation could not be determined.

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