Absolute Value of a Difference with Heaviside Function

[Batmaniac]

Homework Statement

If |x| = -x + 2x*H(x) what is |x - a|? This isn't the actual question, just something I need to know to solve the question.

Homework Equations

H(x) is the Heaviside function which is:

y = 1 if x >= 0
y = 0 if x < 0

The Attempt at a Solution

Well, I'm not sure how to do it algebraically, but my best guess would be:

|x - a| = -(x - a) + 2(x - a)*H(x - a)

 

[EnumaElish]

Correct.