abs(x+1)+2*abs(-x+1)+abs(2*x-8)=10

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Solution for abs(x+1)+2*abs(-x+1)+abs(2*x-8)=10 equation:


Simplifying
abs(x + 1) + 2abs(-1x + 1) + abs(2x + -8) = 10

Reorder the terms:
abs(1 + x) + 2abs(-1x + 1) + abs(2x + -8) = 10
(1 * abs + x * abs) + 2abs(-1x + 1) + abs(2x + -8) = 10
(1abs + absx) + 2abs(-1x + 1) + abs(2x + -8) = 10

Reorder the terms:
1abs + absx + 2abs(1 + -1x) + abs(2x + -8) = 10
1abs + absx + (1 * 2abs + -1x * 2abs) + abs(2x + -8) = 10
1abs + absx + (2abs + -2absx) + abs(2x + -8) = 10

Reorder the terms:
1abs + absx + 2abs + -2absx + abs(-8 + 2x) = 10
1abs + absx + 2abs + -2absx + (-8 * abs + 2x * abs) = 10
1abs + absx + 2abs + -2absx + (-8abs + 2absx) = 10

Reorder the terms:
1abs + 2abs + -8abs + absx + -2absx + 2absx = 10

Combine like terms: 1abs + 2abs = 3abs
3abs + -8abs + absx + -2absx + 2absx = 10

Combine like terms: 3abs + -8abs = -5abs
-5abs + absx + -2absx + 2absx = 10

Combine like terms: absx + -2absx = -1absx
-5abs + -1absx + 2absx = 10

Combine like terms: -1absx + 2absx = 1absx
-5abs + 1absx = 10

Solving
-5abs + 1absx = 10

Solving for variable 'a'.

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

Reorder the terms:
-10 + -5abs + 1absx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -5abs + 1absx = 0

The solution to this equation could not be determined.

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