2x − 3(x − 3)  =  12.

To solve the equation 2x − 3(x − 3) = 12, we will follow these steps:

Step 1: Distribute the -3 to the terms inside the parentheses.

2x − 3(x) + 3(3) = 12

Step 2: Simplify the expression further.

2x − 3x + 9 = 12

Step 3: Combine like terms.

(2x − 3x) + 9 = 12

-x + 9 = 12

Step 4: Move constant term to the other side of the equation by subtracting 9 from both sides.

x - 9 + 9 = 12 - 9

x = 3

Therefore, the solution to the equation 2x − 3(x − 3) = 12 is x = 3.