Let's solve the equation step-by-step to find the value of [tex]\(x\)[/tex]:
Given equation:
[tex]\[
-8x + 4 = 36
\][/tex]
First, let's isolate the term with [tex]\(x\)[/tex] on one side. We do this by subtracting 4 from both sides of the equation:
[tex]\[
-8x + 4 - 4 = 36 - 4
\][/tex]
[tex]\[
-8x = 32
\][/tex]
Now, we need to solve for [tex]\(x\)[/tex] by dividing both sides of the equation by -8:
[tex]\[
\frac{-8x}{-8} = \frac{32}{-8}
\][/tex]
[tex]\[
x = -4
\][/tex]
Therefore, the solution to the equation [tex]\( -8x + 4 = 36 \)[/tex] is:
[tex]\[
x = -4
\][/tex]
So, the correct answer is:
[tex]\[
\boxed{x = -4}
\][/tex]
Option:
C. [tex]\( x = -4 \)[/tex] is correct.
