could you walk-through the steps to solving this problem because I am stuck;

3x-5(3x-7)=2(x+9)+45

Let me know if you have a question in any step.

3x-5(3x-7)=2(x+9)+45
3x-15x+35= 2x+18+45
-12x+35 = 2x+63
-35 -35
-12x= 2x +63-35
-12x= 2x +28
-2x -2x

-12x-2x = 28

-14x= 28
-14x/-14= 28/-14
x = -2

to check just substitute the answer for x to ever x in the original problem.

3x-5(3x-7)=2(x+9)+45

3(-2)-5(3(-2)-7)=2(-2+9)+45
-6 -5 (-6-7)= 2(7)+45
-6-5(-13)=14+45
-6+65=59
59=59 it checks.

You really helped me out. I know see how to work out other problems like this one. Thank you very much!!!

You're welcome! I'm glad I could help you. It's great to hear that you now understand how to work out problems like this one. If you have any more questions or need further explanations, feel free to ask. I'm here to assist you!