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Solve for [tex]$x[tex]$[/tex] in the equation [tex]$[/tex]5x + 14 = k$[/tex].
A. [tex]$x = \frac{k - 14}{5}$[/tex] B. [tex]$x = k - 14$[/tex] C. [tex]$x = 5k - 14$[/tex] D. [tex]$x = \frac{k + 14}{5}$[/tex]
To solve the equation \( 5x + 14 = k \) for \( x \), follow these steps:
1. We start with the given equation: [tex]\[
5x + 14 = k
\][/tex]
2. The goal is to isolate \( x \) on one side of the equation. First, subtract 14 from both sides to remove the constant term on the left side: [tex]\[
5x + 14 - 14 = k - 14
\][/tex] Simplifying this gives: [tex]\[
5x = k - 14
\][/tex]
3. Next, to solve for \( x \), divide both sides of the equation by 5 to isolate \( x \): [tex]\[
x = \frac{k - 14}{5}
\][/tex]
Therefore, the correct answer is: [tex]\[
\boxed{A. \ x = \frac{k - 14}{5}}
\][/tex]
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