Hello.
In order to solve this equation, we need to isolate the variable (in this case, the variable is x)
The first step is to use the Distributive Property and distribute 3:
![\mathrm{3(x-1)=2x+9}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4d2m4hc79nyhu3exvogq3nwy3napb3i4ao.png)
![\mathrm{3x-3=2x+9}](https://img.qammunity.org/2023/formulas/mathematics/high-school/hnbi6j3x1ee45kjd8q29cgm194sad8cp67.png)
Now, add 3 to both sides:
![\mathrm{3x-3+3=2x+9+3}](https://img.qammunity.org/2023/formulas/mathematics/high-school/py5ojltntbjer1oz16woqyd9026usb4z91.png)
![\mathrm{3x=2x+9+3}](https://img.qammunity.org/2023/formulas/mathematics/high-school/w0xdo9zp0o11sl91ghbjn7oih8e1lxw85q.png)
![\mathrm{3x=2x+12}](https://img.qammunity.org/2023/formulas/mathematics/high-school/b3npf2bzzfpn2tvg6vngkpbqev6vuhcamn.png)
Now, subtract 2x from both sides:
![\mathrm{3x-2x=2x-2x+12}\\\mathrm{3x-2x=12}](https://img.qammunity.org/2023/formulas/mathematics/high-school/f37497ryr8twyvs0q41j768ohn064wm9hv.png)
![\mathrm{x=12}](https://img.qammunity.org/2023/formulas/mathematics/high-school/wgxcqxhg35exo6ynquyfoug7eytcu4x9vn.png)
Therefore, the answer is
![\mathrm{x=12}](https://img.qammunity.org/2023/formulas/mathematics/high-school/wgxcqxhg35exo6ynquyfoug7eytcu4x9vn.png)
I hope it helps.
Have a nice day.
![\boxed{imperturbability}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4e5twsd8myuuptqybbee35e90dbwcl3efm.png)