Answered

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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]

Sagot :

GinnyAnswer
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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