To solve the equation [tex]\( x + 8 = -3 \)[/tex], follow these steps:
1. Isolate the variable [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we need to get rid of the 8 that is added to [tex]\( x \)[/tex]. We can do this by subtracting 8 from both sides of the equation.
2. Subtract 8 from both sides:
[tex]\[
x + 8 - 8 = -3 - 8
\][/tex]
3. Simplify both sides:
On the left side, [tex]\( +8 \)[/tex] and [tex]\(-8\)[/tex] cancel each other out, leaving:
[tex]\[
x = -3 - 8
\][/tex]
4. Perform the subtraction on the right side:
[tex]\[
x = -11
\][/tex]
Therefore, the solution to the equation [tex]\( x + 8 = -3 \)[/tex] is [tex]\( x = -11 \)[/tex].
So, the correct answer is:
C. [tex]\( x = -11 \)[/tex]
