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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:
[tex]\mathrm{3(x-1)=2x+9}[/tex]
[tex]\mathrm{3x-3=2x+9}[/tex]
Now, add 3 to both sides:
[tex]\mathrm{3x-3+3=2x+9+3}[/tex]
[tex]\mathrm{3x=2x+9+3}[/tex]
[tex]\mathrm{3x=2x+12}[/tex]
Now, subtract 2x from both sides:
[tex]\mathrm{3x-2x=2x-2x+12}\\\mathrm{3x-2x=12}[/tex]
[tex]\mathrm{x=12}[/tex]
Therefore, the answer is
[tex]\mathrm{x=12}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]