The problem is to solve the equation $3(x - 7) = 4 - 2(x + 2)$ for $x$.

1. Problem Description

The problem is to solve the equation $3(x - 7) = 4 - 2(x + 2)$ for $x$.

2. Solution Steps

First, we distribute the terms in the equation:

$3x - 21 = 4 - 2x - 4$

Next, we simplify the right side of the equation:

$3x - 21 = -2x$

Now, we add $2x$ to both sides of the equation:

$3x + 2x - 21 = -2x + 2x$

$5x - 21 = 0$

Next, we add 21 to both sides of the equation:

$5x - 21 + 21 = 0 + 21$

$5x = 21$

Finally, we divide both sides by 5 to solve for $x$:

$\frac{5x}{5} = \frac{21}{5}$

$x = \frac{21}{5}$

3. Final Answer

$x = \frac{21}{5}$