#### Answer

{$-8$}

#### Work Step by Step

First, we apply the distributive property in order to remove the parenthesis in the equation:
$2(x-1)-3(x-2)=12$
$2x-2-3x+6=12$
To solve this equation, we will first collect the variable and the constants on the opposite sides of the equality sign. Then, we will perform arithmetic operations on the resultant equation:
$2x-2-3x+6=12$
$2x-3x=12-6+2$
$-x=8$
$x=-8$
Therefore, the solution set is {$-8$}.