# What is the solution set for -2m + 5 = -2m - 5?

Aug 28, 2015

$x = \emptyset$

#### Explanation:

This equation has no real solutions.

You can cancel out the two $m$-terms to get

$\textcolor{red}{\cancel{\textcolor{b l a c k}{- 2 m}}} + 5 = \textcolor{red}{\cancel{\textcolor{b l a c k}{- 2 m}}} - 5$

This will leave you with

$5 \ne - 5$

As it is written, this equation will always produce the same result, regardless of value $x$ takes.