## Intermediate Algebra (6th Edition)

We are given the equation $2x+1=2x+3$. Without simplifying, we can tell that this equation will have no solutions because the variable terms on both sides are the same, but the constant terms are different. Therefore, no matter what we plug in for x, the variable terms will cancel out each other, and the constant terms on both sides will be different. Example, $x=0$ $2\times0+1=2\times0+3$ $1\ne3$ Example, $x=3$ $2\times3+1=2\times3+3$ $7\ne9$