Hey there!
ANSWER:
![x>-2](https://img.qammunity.org/2021/formulas/mathematics/high-school/uxsk00m58l7v6dmkcn4g1li5sw0ueanoae.png)
Step-by-step explanation:
![2(x+8)>18+x-4](https://img.qammunity.org/2021/formulas/mathematics/high-school/wa7gome0fpwlbasb3bzf2bi1y7zzega4wi.png)
In our first step, we will need to simplify the inequality.
![2x+16>x+14](https://img.qammunity.org/2021/formulas/mathematics/high-school/7hi0uo33b1k9bhcb4yps7tr2su0p6tjsft.png)
Now we have to subtract x from both sides of the inequality.
![2x+16-x>x+14-x=x+16>14\\x+16>14](https://img.qammunity.org/2021/formulas/mathematics/high-school/78pm1eqk3gpqao63uuj0v3fhsjak1c65tz.png)
In our last step, we will need to subtract 16 from both sides of the inequality.
![x+16-16>14-16=x>-2\\x>-2\text{(ANSWER)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/ifrixjtf8v3mtfvrxmjpsx5yjuxswoj61r.png)
Hope this helps!
![\text{Please rate this answer and press the thank button!}\\\text{-TestedHyperr}](https://img.qammunity.org/2021/formulas/mathematics/high-school/qyjak8qobi2ecuuju3mc2hb5evlduaxsc2.png)