To solve the equation [tex]\( x - 12 = -4 \)[/tex], we need to isolate the variable [tex]\( x \)[/tex]. Here are the detailed steps:
1. Start with the given equation:
[tex]\[
x - 12 = -4
\][/tex]
2. To isolate [tex]\( x \)[/tex], add 12 to both sides of the equation to cancel out the [tex]\(-12\)[/tex] on the left side:
[tex]\[
x - 12 + 12 = -4 + 12
\][/tex]
3. Simplify the equation by combining like terms on both sides:
[tex]\[
x = -4 + 12
\][/tex]
4. Calculate the right-hand side:
[tex]\[
-4 + 12 = 8
\][/tex]
Thus, the solution to the equation [tex]\( x - 12 = -4 \)[/tex] is:
[tex]\[
x = 8
\][/tex]
Therefore, the correct answer is:
C. [tex]\( x = 8 \)[/tex]
