Question 65939
Zero is a solution because it is a Real number that 
generates a true statement when it replaces "x".
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3x=3x+5 is an equation based on the assumption
the "x" on the left is the same NUMBER as the 
"x" on the right.
But if you subtract 3x from both sides you get
0=5.  That is a contradiction which results from
the origial assumption.
So, the assumption is incorrect; there is no
number value that "x" can have.
Cheers,
Stan H.