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

Solution for abs(1-2x)+abs(2x-6)=x equation:

Simplifying
abs(1 + -2x) + abs(2x + -6) = x
(1 * abs + -2x * abs) + abs(2x + -6) = x
(1abs + -2absx) + abs(2x + -6) = x

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

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

Combine like terms: 1abs + -6abs = -5abs
-5abs + -2absx + 2absx = x

Combine like terms: -2absx + 2absx = 0
-5abs + 0 = x
-5abs = x

Solving
-5abs = x

Solving for variable 'a'.

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

Divide each side by '-5bs'.
a = -0.2b-1s-1x

Simplifying
a = -0.2b-1s-1x