Answer:
C
Step-by-step explanation:
So we have the equation:
[tex]\frac{x-2}{5}=k[/tex]
And we want to find the value of x such that k is -4.
To do so, we can substitute -4 for k and then solve for x.
So, substitute -4 for k:
[tex]\frac{x-2}{5}=-4[/tex]
And now, we just have to solve for x.
Let's multiply both sides by 5:
[tex](5)\frac{x-2}{5}=5(-4)[/tex]
The left side cancels. Multiply on the right:
[tex]x-2=-20[/tex]
Now, let's add 2 to both sides:
[tex](x-2)+2=(-20)+2[/tex]
The left side cancels again. Add on the right:
[tex]x=-18[/tex]
Therefore, the value of x is -18.
Our answer is C.
And we're done!
