Answer:
x < - 1
Explanation:
![2(6−4x)>18−2x](https://img.qammunity.org/2021/formulas/mathematics/college/3z3vltky1gafu5tnefhndlcysdiu8zmnol.png)
Multiply the terms in the bracket
![12 - 8x > 18 - 2x](https://img.qammunity.org/2021/formulas/mathematics/college/n40e5zra9d9j7t4z23cn42uxl1tviw3jc9.png)
Move 12 to the other side of the inequality
![- 8x > 18 - 12 - 2x \\ - 8x > 6 - 2x](https://img.qammunity.org/2021/formulas/mathematics/college/da0k0zd67jdgincd2tc1vyr42py52zjy67.png)
Move - 2x to the other side of the inequality
![- 8x + 2x > 6 \\ - 6x > 6](https://img.qammunity.org/2021/formulas/mathematics/college/74a9zjqtk42jvgqopc4w2wmrcm1ibub1fj.png)
Divide both sides by - 6
![( - 6x)/( - 6) > - (6)/(6) \\ x > - 1](https://img.qammunity.org/2021/formulas/mathematics/college/yrfsyqvcoao34276x8nkb6wu6a0c3yunj9.png)
Reverse the sign
We have the final answer as
x < - 1
Hope this helps you