To solve the equation [tex]\(4 - x = -8\)[/tex], follow these steps:
1. Isolate the variable: Start by isolating [tex]\(x\)[/tex]. To do this, move the constant term on the left side to the right side of the equation. This can be done by subtracting 4 from both sides.
[tex]\[
4 - x - 4 = -8 - 4
\][/tex]
Simplifying both sides, we get:
[tex]\[
-x = -12
\][/tex]
2. Solve for [tex]\(x\)[/tex]: To solve for [tex]\(x\)[/tex], we need to get rid of the negative sign in front of [tex]\(x\)[/tex]. We can do this by multiplying both sides of the equation by [tex]\(-1\)[/tex]:
[tex]\[
-1 \cdot (-x) = -1 \cdot (-12)
\][/tex]
This simplifies to:
[tex]\[
x = 12
\][/tex]
So the solution to the equation [tex]\(4 - x = -8\)[/tex] is [tex]\(x = 12\)[/tex].
Therefore, the correct answer is:
A. [tex]\(x = 12\)[/tex]
