Certainly! Let's solve the equation [tex]\(9 - 4x = 57\)[/tex] step by step.
1. Write down the equation:
[tex]\[
9 - 4x = 57
\][/tex]
2. Isolate the term with the variable [tex]\(x\)[/tex]:
To isolate [tex]\( -4x \)[/tex], we need to get rid of the constant term on the left-hand side of the equation. We can do this by subtracting 9 from both sides of the equation:
[tex]\[
9 - 4x - 9 = 57 - 9
\][/tex]
Simplifying this, we get:
[tex]\[
-4x = 48
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
Now, to isolate [tex]\(x\)[/tex], we divide both sides of the equation by [tex]\(-4\)[/tex]:
[tex]\[
x = \frac{48}{-4}
\][/tex]
Performing the division, we get:
[tex]\[
x = -12
\][/tex]
So, the value of [tex]\(x\)[/tex] that satisfies the equation [tex]\(9 - 4x = 57\)[/tex] is [tex]\(-12\)[/tex].
Hence, the correct answer is:
A. [tex]\(-12\)[/tex]
