how do you solve this?
Do you think the equation x+2=x-3 has more than one real number solution? If so, how many solutions does it have? explain you reasoning.
~this is a study question on my midterm coming up.... the answer is no, but how do you work the problem?

Question

how do you solve this? 
Do you think the equation x+2=x-3 has more than one real number solution? If so, how many solutions does it have? explain you reasoning. 
   ~this is a study question on my midterm coming up.... the answer is no, but how do you work the problem?

anonymous · Answer

the answer is no because whatever $x$ is on the left, it is the same number on the right. you cannot add 2 to a number, subtract 3 from that same number, and end up equal

anonymous · Answer

in other words, this equation cannot have any solution at all

anonymous · Answer

You can verify by solving using standard procedures
$ x+2=x-3$
subtract 2 from both sides
$ x=x-5$
subtract x from both sides
$ 0=-5$
That statement is never true, so no value for x can solve it.