Answer:
Option D - Infinitely many solutions
Explanation:
Given : Linear equation
![(6(x+2))/(2)=(12x)/(4)+6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y5qtpozhgkfjfpngs1x5pv249lwm92jyhc.png)
To find : How many solutions can be found for the linear equation?
Solution :
Linear equation
![(6(x+2))/(2)=(12x)/(4)+6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y5qtpozhgkfjfpngs1x5pv249lwm92jyhc.png)
Solve the linear equation,
![3(x+2)=3x+6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sfichghg53bodj4qihv5le413lk3mnuozk.png)
![3x+6=3x+6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zmzliial48h3xhb7vwf7fxztc5maeg3nt1.png)
![0=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dqj8tt56oy4cezv79byofe0ejsj36p1vi0.png)
Which means the equation has infinitely many solutions.
Therefore, Option D is correct.