abs(abs(x-13)+abs(2x+4)-2)+abs(x-1)=abs(x)+2x-1

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Solution for abs(abs(x-13)+abs(2x+4)-2)+abs(x-1)=abs(x)+2x-1 equation:


Simplifying
abs(abs(x + -13) + abs(2x + 4) + -2) + abs(x + -1) = abs(x) + 2x + -1

Reorder the terms:
abs(abs(-13 + x) + abs(2x + 4) + -2) + abs(x + -1) = abs(x) + 2x + -1
abs((-13 * abs + x * abs) + abs(2x + 4) + -2) + abs(x + -1) = abs(x) + 2x + -1
abs((-13abs + absx) + abs(2x + 4) + -2) + abs(x + -1) = abs(x) + 2x + -1

Reorder the terms:
abs(-13abs + absx + abs(4 + 2x) + -2) + abs(x + -1) = abs(x) + 2x + -1
abs(-13abs + absx + (4 * abs + 2x * abs) + -2) + abs(x + -1) = abs(x) + 2x + -1
abs(-13abs + absx + (4abs + 2absx) + -2) + abs(x + -1) = abs(x) + 2x + -1

Reorder the terms:
abs(-2 + -13abs + 4abs + absx + 2absx) + abs(x + -1) = abs(x) + 2x + -1

Combine like terms: -13abs + 4abs = -9abs
abs(-2 + -9abs + absx + 2absx) + abs(x + -1) = abs(x) + 2x + -1

Combine like terms: absx + 2absx = 3absx
abs(-2 + -9abs + 3absx) + abs(x + -1) = abs(x) + 2x + -1
(-2 * abs + -9abs * abs + 3absx * abs) + abs(x + -1) = abs(x) + 2x + -1
(-2abs + -9a2b2s2 + 3a2b2s2x) + abs(x + -1) = abs(x) + 2x + -1

Reorder the terms:
-2abs + -9a2b2s2 + 3a2b2s2x + abs(-1 + x) = abs(x) + 2x + -1
-2abs + -9a2b2s2 + 3a2b2s2x + (-1 * abs + x * abs) = abs(x) + 2x + -1
-2abs + -9a2b2s2 + 3a2b2s2x + (-1abs + absx) = abs(x) + 2x + -1

Reorder the terms:
-2abs + -1abs + absx + -9a2b2s2 + 3a2b2s2x = abs(x) + 2x + -1

Combine like terms: -2abs + -1abs = -3abs
-3abs + absx + -9a2b2s2 + 3a2b2s2x = abs(x) + 2x + -1

Multiply abs * x
-3abs + absx + -9a2b2s2 + 3a2b2s2x = absx + 2x + -1

Reorder the terms:
-3abs + absx + -9a2b2s2 + 3a2b2s2x = -1 + absx + 2x

Add '-1absx' to each side of the equation.
-3abs + absx + -9a2b2s2 + -1absx + 3a2b2s2x = -1 + absx + -1absx + 2x

Reorder the terms:
-3abs + absx + -1absx + -9a2b2s2 + 3a2b2s2x = -1 + absx + -1absx + 2x

Combine like terms: absx + -1absx = 0
-3abs + 0 + -9a2b2s2 + 3a2b2s2x = -1 + absx + -1absx + 2x
-3abs + -9a2b2s2 + 3a2b2s2x = -1 + absx + -1absx + 2x

Combine like terms: absx + -1absx = 0
-3abs + -9a2b2s2 + 3a2b2s2x = -1 + 0 + 2x
-3abs + -9a2b2s2 + 3a2b2s2x = -1 + 2x

Solving
-3abs + -9a2b2s2 + 3a2b2s2x = -1 + 2x

Solving for variable 'a'.

Reorder the terms:
1 + -3abs + -9a2b2s2 + 3a2b2s2x + -2x = -1 + 2x + 1 + -2x

Reorder the terms:
1 + -3abs + -9a2b2s2 + 3a2b2s2x + -2x = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
1 + -3abs + -9a2b2s2 + 3a2b2s2x + -2x = 0 + 2x + -2x
1 + -3abs + -9a2b2s2 + 3a2b2s2x + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -3abs + -9a2b2s2 + 3a2b2s2x + -2x = 0

The solution to this equation could not be determined.

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