Thinking Mathematically (6th Edition)

Consider a statement that two times of the number plus $7$is same as two times of the number plus$5$, i.e., \begin{align} & 2x+7=2x+5 \\ & 2x+7-2x=2x+5-2x \\ & \text{7}\ \text{=}\ \text{5} \end{align} The above equation is false for every value of$x$. Thus, it has no solution.