Let's solve the given equation step by step:
The original equation is:
[tex]\[ x + (-13) = -5 \][/tex]
First, we can rewrite this to make it simpler:
[tex]\[ x - 13 = -5 \][/tex]
Next, we want to isolate [tex]\( x \)[/tex]. To do this, we need to get rid of the [tex]\(-13\)[/tex] on the left side. We will add 13 to both sides of the equation.
Adding 13 to both sides, we get:
[tex]\[ x - 13 + 13 = -5 + 13 \][/tex]
Simplify both sides:
[tex]\[ x = -5 + 13 \][/tex]
Now, perform the addition on the right side:
[tex]\[ x = 8 \][/tex]
So, the solution to the equation [tex]\( x + (-13) = -5 \)[/tex] is:
[tex]\[ x = 8 \][/tex]
Therefore, the correct answer is:
B. [tex]\( x = 8 \)[/tex]
