The problem asks us to solve the equation $3(x - 9) = 4 - 2(x + 2)$ for $x$.

1. Problem Description

The problem asks us to solve the equation $3(x - 9) = 4 - 2(x + 2)$ for $x$.

2. Solution Steps

We start by expanding both sides of the equation:

$3(x - 9) = 4 - 2(x + 2)$

$3x - 27 = 4 - 2x - 4$

$3x - 27 = -2x$

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

$3x - 27 + 2x = -2x + 2x$

$5x - 27 = 0$

Next, we add 27 to both sides:

$5x - 27 + 27 = 0 + 27$

$5x = 27$

Finally, we divide both sides by 5:

$\frac{5x}{5} = \frac{27}{5}$

$x = \frac{27}{5}$

3. Final Answer

$x = \frac{27}{5}$

The answer is (C).