To determine if x=5 is a solution, plug-in this to the equation.

`-7+x=2`

`-7+5=2`

`-2=2` (False)

**Since the resulting condition is False, hence x=5 is not the solution of `-7 + x = 2` .**

To determine the solution of the given equation, move 7 to the right. To do so, add both sides by 7.

`-7+x=2`

`-7+7+x=2+7`

`x=9`

**Hence, the solution of `-7+x=2` is `x=9` .**