Given:
The expression is
![3(2x-4)-4x](https://img.qammunity.org/2022/formulas/mathematics/high-school/x8719kofb87fbx35q3pkug0anz05rivwfq.png)
To find:
The simplified form of the given expression by using the distributive property and combining like terms.
Solution:
We have,
![3(2x-4)-4x](https://img.qammunity.org/2022/formulas/mathematics/high-school/x8719kofb87fbx35q3pkug0anz05rivwfq.png)
Using the distributive property, we get
![=3(2x)+3(-4)-4x](https://img.qammunity.org/2022/formulas/mathematics/high-school/c350rwyi8e0sfryxy5lx7ywtj9ax6g1feu.png)
![=6x-12-4x](https://img.qammunity.org/2022/formulas/mathematics/high-school/q92cv2x51n17qozre4zm8fvzop3z84eddv.png)
On combining like terms, we get
![=(6x-4x)-12](https://img.qammunity.org/2022/formulas/mathematics/high-school/ps7nrpfhkpr7y50ua4l0b41d31m3pg6h33.png)
![=2x-12](https://img.qammunity.org/2022/formulas/mathematics/high-school/i1jsgdnamtni938d1dz0uc7jxy10lzlvn2.png)
Therefore, the simplified form of the given expression is
.