abs(x-4)-abs(x+2)=6

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Solution for abs(x-4)-abs(x+2)=6 equation: 


Simplifying
abs(x + -4) + -1abs(x + 2) = 6

Reorder the terms:
abs(-4 + x) + -1abs(x + 2) = 6
(-4 * abs + x * abs) + -1abs(x + 2) = 6
(-4abs + absx) + -1abs(x + 2) = 6

Reorder the terms:
-4abs + absx + -1abs(2 + x) = 6
-4abs + absx + (2 * -1abs + x * -1abs) = 6
-4abs + absx + (-2abs + -1absx) = 6

Reorder the terms:
-4abs + -2abs + absx + -1absx = 6

Combine like terms: -4abs + -2abs = -6abs
-6abs + absx + -1absx = 6

Combine like terms: absx + -1absx = 0
-6abs + 0 = 6
-6abs = 6

Solving
-6abs = 6

Solving for variable 'a'.

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

Divide each side by '-6bs'.
a = -1b-1s-1

Simplifying
a = -1b-1s-1

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