For this case we have a function of the form
![y = g (x)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ciwu3k4d3abwyeuwzvftattsred816bxb6.png)
Where:
![g (x) = 2 (x-4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/plei2t1kv39bbu21a77162rkdsrlh7lr6t.png)
We must find the value of "x" when the function has a value of 20, that is,
:
![2 (x-4) = 20](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b65h2yaybz1d99062q7dn1zznlqrmzbyww.png)
We apply distributive property:
![2x-8 = 20](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r3a5hp5oe99agyxw39v2r8n88aghe6pd8p.png)
We add 8 to both sides of the equation:
![2x = 20 + 8\\2x = 28](https://img.qammunity.org/2020/formulas/mathematics/middle-school/83dcq1p05h9qia5zbv6gopltrk6gex6kck.png)
We divide between 2 on both sides of the equation:
![x = \frac {28} {2}\\x = 14](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tkno0hue83iqohymw12zjvtxvs8fxnjp4p.png)
Answer:
Option C