To solve the equation [tex]\(-8x + 4 = 36\)[/tex], we need to isolate the variable [tex]\(x\)[/tex]. Let's go through the steps:
1. Subtract 4 from both sides of the equation to eliminate the constant term on the left side:
[tex]\[
-8x + 4 - 4 = 36 - 4
\][/tex]
Simplifying this, we get:
[tex]\[
-8x = 32
\][/tex]
2. Divide both sides by -8 to solve for [tex]\(x\)[/tex]:
[tex]\[
x = \frac{32}{-8}
\][/tex]
Simplifying this, we get:
[tex]\[
x = -4
\][/tex]
So, the solution to the equation [tex]\(-8x + 4 = 36\)[/tex] is [tex]\(x = -4\)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{x = -4} \][/tex]
Option D is the correct choice.
