You can put this solution on YOUR website! Hello!
There's something wrong in your solution. First, you shouldn't eliminate the variable because your objective is to find the value of the variable.
Now here's my solution.
3/4=1-3x-2/x+1
3/4(x+1)=1-3x-2
3/4x+3/4=-3x-1
3/4x=-3x-7/4
15/4x=-7/4
15x=-7
x=-7/15
The answer is -7/15. If you have any questions, it will be my honor to teach you.