Question

Is 5x+2=5x+2 answer many solutions

dose 5x+2=2x+5 answer one solution
is 5x=5x+2 equal no solutin

Answer 1

`5x+2=5x+2\\ 0=0\\ x\in \mathbb{R} \Rightarrow \hbox{yes}\\\\ 5x+2=2x+5\\ 3x=3\\ x=1 \Rightarrow \hbox{yes}\\\\ 5x=5x+2\\ 0=2\\ x\in\emptyset \Rightarrow \hbox{yes}`