How do you solve $w+3=w+6$ ?

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Answer 1 · 2017-02-06T21:29:03

There is no solution to this equation. The solution set is empty, as no value of $w$ can make it true.

If you treat this in the usual manner of collecting like terms, you quickly get the equation

$w-w=6-3$

or

$0=3$

which of course, is false. So, no solution exists to this particular equation.

How do you solve w+3=w+6w+3=w+6?