In the
linear algebraic equation x + 8 = -7, to
solve for variable 'x', we need to get 'x' by itself on one side of the equation
We need to remove 8. Here, 8 is having a plus sign. So when we shift 8 on the RHS, its sign will reverse.
We will
subtract 8 from both sides.

Here, 7 is having a minus sign and 8 is having a minus sign.
In mathematics, when numbers have same signs, they are always added and sign present on both of them will prevail.
Here, adding 7 with 8 gives us 15. The numbers 7 and 8 both have a minus sign. So, the answer 15 will have a minus sign.
The solution is complete.