To solve the equation [tex]\( x + 8 = -2 \)[/tex], we follow these steps:
1. Isolate the variable [tex]\( x \)[/tex]:
The goal is to get [tex]\( x \)[/tex] by itself on one side of the equation. To do this, we need to eliminate the constant term on the same side as [tex]\( x \)[/tex].
2. Subtract 8 from both sides of the equation to move the constant term:
[tex]\[
x + 8 - 8 = -2 - 8
\][/tex]
3. Simplify both sides:
On the left side, [tex]\( 8 - 8 \)[/tex] cancels out, leaving us with [tex]\( x \)[/tex].
On the right side, [tex]\( -2 - 8 \)[/tex] simplifies to [tex]\( -10 \)[/tex].
So, we get:
[tex]\[
x = -10
\][/tex]
Thus, the solution to the equation [tex]\( x + 8 = -2 \)[/tex] is [tex]\( x = -10 \)[/tex].
The correct answer is B. [tex]\( x = -10 \)[/tex].
