In the
linear algebraic equation x - 8 = -10, 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 minus sign. So when we shift 8 on the RHS, its sign will reverse.
We will
add 8 to both sides.

Here, 10 is having a minus sign and 8 is having a plus sign.
In mathematics, when numbers have opposite signs, they are always subtracted and sign present on bigger number will prevail.
Here, subtracting 10 with 8 gives us 2. The number 10 is having a minus sign. So, the answer 2 will have a minus sign.
The solution is complete.