To solve for \( m \) in the equation \( 5 + 2m = 3 + m \), follow these steps:
1. Move all terms involving \( m \) to one side of the equation and constants to the other side:
- Subtract \( m \) from both sides of the equation:
[tex]\[
5 + 2m - m = 3 + m - m
\][/tex]
- This simplifies to:
[tex]\[
5 + m = 3
\][/tex]
2. Isolate \( m \) on one side of the equation:
- Subtract 5 from both sides of the equation:
[tex]\[
m = 3 - 5
\][/tex]
- This simplifies to:
[tex]\[
m = -2
\][/tex]
Thus, the solution to the equation is [tex]\( m = -2 \)[/tex].