abs(x-6)+abs(x-7)=7

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Solution for abs(x-6)+abs(x-7)=7 equation:


Simplifying
abs(x + -6) + abs(x + -7) = 7

Reorder the terms:
abs(-6 + x) + abs(x + -7) = 7
(-6 * abs + x * abs) + abs(x + -7) = 7
(-6abs + absx) + abs(x + -7) = 7

Reorder the terms:
-6abs + absx + abs(-7 + x) = 7
-6abs + absx + (-7 * abs + x * abs) = 7
-6abs + absx + (-7abs + absx) = 7

Reorder the terms:
-6abs + -7abs + absx + absx = 7

Combine like terms: -6abs + -7abs = -13abs
-13abs + absx + absx = 7

Combine like terms: absx + absx = 2absx
-13abs + 2absx = 7

Solving
-13abs + 2absx = 7

Solving for variable 'a'.

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

Reorder the terms:
-7 + -13abs + 2absx = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + -13abs + 2absx = 0

The solution to this equation could not be determined.

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