The problem asks us to solve the linear equation $3(x-3) = 4 - 2(x+2)$ for $x$. We need to simplify the equation, isolate $x$, and then choose the correct multiple-choice answer.

1. Problem Description

The problem asks us to solve the linear equation $3(x-3) = 4 - 2(x+2)$ for $x$. We need to simplify the equation, isolate $x$, and then choose the correct multiple-choice answer.

2. Solution Steps

First, we distribute the constants to the terms inside the parentheses:

$3(x-3) = 3x - 9$

$-2(x+2) = -2x - 4$

So the equation becomes:

$3x - 9 = 4 - 2x - 4$

$3x - 9 = -2x$

Next, we add $2x$ to both sides:

$3x - 9 + 2x = -2x + 2x$

$5x - 9 = 0$

Then, we add 9 to both sides:

$5x - 9 + 9 = 0 + 9$

$5x = 9$

Finally, we divide both sides by 5:

$\frac{5x}{5} = \frac{9}{5}$

$x = \frac{9}{5}$

3. Final Answer

The solution to the equation is $x = \frac{9}{5}$.

The correct answer is (A).