Let’s solve the equation step by step to find the value of [tex]\(x\)[/tex] that makes the equation true:
Given the equation:
[tex]\[
-5(x - 20) = 35
\][/tex]
First, we want to isolate [tex]\(x\)[/tex]. We start by distributing the [tex]\(-5\)[/tex] through the parentheses:
[tex]\[
-5x + 100 = 35
\][/tex]
Next, we want to get rid of the constant term on the left side of the equation. We do this by subtracting 100 from both sides of the equation:
[tex]\[
-5x + 100 - 100 = 35 - 100
\][/tex]
[tex]\[
-5x = -65
\][/tex]
Now, we need to solve for [tex]\(x\)[/tex]. To do that, we divide both sides of the equation by [tex]\(-5\)[/tex]:
[tex]\[
\frac{-5x}{-5} = \frac{-65}{-5}
\][/tex]
[tex]\[
x = 13
\][/tex]
So, the value of [tex]\(x\)[/tex] that makes the equation true is:
[tex]\[
\boxed{13}
\][/tex]
Therefore, the correct answer is:
A. 13
