Question

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

Answer 1

`{0}`

Explanation:

`-2m + 5 = 2m + 5`

Add `color(blue)(2m)` to both sides:
`-2m quadcolor(blue)(+quad2m) + 5 = 2m quadcolor(blue)(+quad2m) + 5`

`5 = 4m + 5`

Subtract `color(blue)5` from both sides:
`5 quadcolor(blue)(-quad5) = 4m + 5 quadcolor(blue)(-quad5)`

`0 = 4m`

Divide both sides by `color(blue)4`
`0/color(blue)4 = (4m)/color(blue)4`

`0 = m`

Therefore,
`m = 0`

The solution set is `{0}`.