abs(x-3)+abs(2x+7)=8

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Solution for abs(x-3)+abs(2x+7)=8 equation:


Simplifying
abs(x + -3) + abs(2x + 7) = 8

Reorder the terms:
abs(-3 + x) + abs(2x + 7) = 8
(-3 * abs + x * abs) + abs(2x + 7) = 8
(-3abs + absx) + abs(2x + 7) = 8

Reorder the terms:
-3abs + absx + abs(7 + 2x) = 8
-3abs + absx + (7 * abs + 2x * abs) = 8
-3abs + absx + (7abs + 2absx) = 8

Reorder the terms:
-3abs + 7abs + absx + 2absx = 8

Combine like terms: -3abs + 7abs = 4abs
4abs + absx + 2absx = 8

Combine like terms: absx + 2absx = 3absx
4abs + 3absx = 8

Solving
4abs + 3absx = 8

Solving for variable 'a'.

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

Reorder the terms:
-8 + 4abs + 3absx = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 4abs + 3absx = 0

The solution to this equation could not be determined.

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