Find the solution set for the equation. Use properties to justify your solution

2x-3=9-x

x=4

Step-by-step explanation:

2x-3=9-x

1. add 3 to - 3 and 9, which will cancel out - 3 and leave you with 2x=12-x

2. add x to 2x and - x which will cancel out - x and leave you with 3x (there will always be a 1 in front of x if it has no variable in front of it x=1) which will leave you with 3x=12

3. divide 12 by 3 and you get 4 ... so x=4