To solve the equation, we can follow the order of operations (PEMDAS/BODMAS) and simplify both sides step by step.

First, let's simplify the expression inside the parentheses on the right side of the equation:
3 - x = 3 - x

Now, let's simplify the expression on the left side of the equation:
45 - 2 × (3 - x) = 45 - 2 × 3 + 2 × x
= 45 - 6 + 2x
= 39 + 2x

So, the equation becomes:
39 + 2x = 19

Next, let's isolate the variable x by subtracting 39 from both sides of the equation:
39 + 2x - 39 = 19 - 39
2x = -20

Finally, divide both sides of the equation by 2 to solve for x:
2x/2 = -20/2
x = -10

Therefore, the solution to the equation is x = -10.