Sure, let's solve the equation step-by-step:
Given equation:
[tex]\[ x - 13 = -4 \][/tex]
To find the value of [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We achieve this by eliminating the -13 on the left side.
Step 1: Add 13 to both sides of the equation to cancel out the -13 on the left side:
[tex]\[ x - 13 + 13 = -4 + 13 \][/tex]
Step 2: Simplify both sides:
[tex]\[
x = 9
\][/tex]
Therefore, the solution to the equation [tex]\( x - 13 = -4 \)[/tex] is [tex]\( x = 9 \)[/tex].
So, the correct answer is:
B. [tex]\( x = 9 \)[/tex]