Find I_x in the network.

#### Solution:

### We will find the power in terms of I_x and then solve for I_x at the end. Remember that power is current multiplied by the voltage.

### P_{36v}=-36I_xW

### P_1=12I_xW

### P_2=48W

### P_{1I_{x}}=-2I_xW

### P_3=56W

##### We know that there are 2 sources which supply power (they are the red sources, and you can see that the current enters the negative terminal of those sources, which means power is supplied)

##### Therefore, we can say that the total power absorbed by the other elements must equal the total power supplied by the other 2 elements.

### P_{36v}+P_{1I_{x}}=P_1+P_2+P_3

### -36I_x-2I_x=12I_x+48+56

### Isolating for I_x gives us:

### I_x=4A