abs(x-4)-3abs(2x-5)=3

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Solution for abs(x-4)-3abs(2x-5)=3 equation:


Simplifying
abs(x + -4) + -3abs(2x + -5) = 3

Reorder the terms:
abs(-4 + x) + -3abs(2x + -5) = 3
(-4 * abs + x * abs) + -3abs(2x + -5) = 3
(-4abs + absx) + -3abs(2x + -5) = 3

Reorder the terms:
-4abs + absx + -3abs(-5 + 2x) = 3
-4abs + absx + (-5 * -3abs + 2x * -3abs) = 3
-4abs + absx + (15abs + -6absx) = 3

Reorder the terms:
-4abs + 15abs + absx + -6absx = 3

Combine like terms: -4abs + 15abs = 11abs
11abs + absx + -6absx = 3

Combine like terms: absx + -6absx = -5absx
11abs + -5absx = 3

Solving
11abs + -5absx = 3

Solving for variable 'a'.

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

Reorder the terms:
-3 + 11abs + -5absx = 3 + -3

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

The solution to this equation could not be determined.

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