The Truth of Algebra

This is a piece of fun, playing around with numbers and equations. It need not be taken seriously but has an intriguing result.

We are used to the easy truth:
consider
x + 6 = 3x
6 = 3xx
6 = 2x or 2x = 6
x = 3
simple, but it can miss a hidden mystery .

If we put what we found (x = 3) back into what we started with,
we get
3 + 6 = 3 × 3
which is:
3 + 2 × 3 = 3 × 3      (or 9 = 9)
of course! – This is how our world is,
but something lies beyond this.

When the x enters our world
we can write:
x + 2x = 3x
which gives
3x = 3x
in which x can be any number from minus infinity to plus infinity.

Of course 3 is in x.
x and 3 are now in both our equation and the unknown.
The unknown is infinite and our equation is part of it.

It need not have been three but that seems apt:
an unknown entered into our equation as a number in it, and a piece of fun.