For this case we must find the solution of the following equation:
[tex]2x-1 = 3x + 2[/tex]
If we subtract 3x from both sides of the equation we have:
[tex]2x-3x-1 = 2[/tex]
Different signs are subtracted and the major sign is placed
[tex]-x-1 = 2[/tex]
We add 1 to both sides of the equation:
[tex]-x=2+1\\-x=3[/tex]
We multiply by -1 on both sides of the equation:
[tex]x = -3[/tex]
So, the solution is[tex]x = -3[/tex]
Answer:
[tex]x = -3[/tex]