Answer:
x = -8
Explanation:
First, we want to take care of the multiplication on the second half, so we can more easily manipulate the sides:
![4x-5(x+6) = 4x - (5x + 30) = -x - 30](https://img.qammunity.org/2021/formulas/mathematics/college/u04x0sj4x0igabl8iwjzh3thwhvhlnbi5s.png)
With that out of the way, we can start isolating the sides:
![3x+2 = -x - 30](https://img.qammunity.org/2021/formulas/mathematics/college/nwt59d1pi0e42schigh8xymqojgewromtl.png)
![3x+2(+x) = -x - 30(+x) = 4x+2 = -30](https://img.qammunity.org/2021/formulas/mathematics/college/bdpu42i4s3iskxlw7anfuksw48q8p3ux18.png)
![4x+2(-2)=-30(-2) = 4x = -32](https://img.qammunity.org/2021/formulas/mathematics/college/1fmrqoniav7qcp32q6lghdp9himf565367.png)
Now that we have x isolated, we can divide both sides by 4 to get our answer:
![4x(/4) = -32(/4) = x=8](https://img.qammunity.org/2021/formulas/mathematics/college/ov1ilzxaghfil2rilfmqwv62116ws3u05u.png)
![x=-8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pyvmnelf2bto4vs11py8leasmmmtzzo9xy.png)