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

Jul 27, 2018

$\left\{0\right\}$

#### Explanation:

$- 2 m + 5 = 2 m + 5$

Add $\textcolor{b l u e}{2 m}$ to both sides:
$- 2 m \quad \textcolor{b l u e}{+ \quad 2 m} + 5 = 2 m \quad \textcolor{b l u e}{+ \quad 2 m} + 5$

$5 = 4 m + 5$

Subtract $\textcolor{b l u e}{5}$ from both sides:
$5 \quad \textcolor{b l u e}{- \quad 5} = 4 m + 5 \quad \textcolor{b l u e}{- \quad 5}$

$0 = 4 m$

Divide both sides by $\textcolor{b l u e}{4}$
$\frac{0}{\textcolor{b l u e}{4}} = \frac{4 m}{\textcolor{b l u e}{4}}$

$0 = m$

Therefore,
$m = 0$

The solution set is $\left\{0\right\}$.