Solve the equation $3(x - 7) = 4 - 2(x + 2)$ for $x$.

1. Problem Description

Solve the equation $3(x - 7) = 4 - 2(x + 2)$ for $x$.

2. Solution Steps

First, distribute the constants on both sides of the equation:

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

Simplify the right side of the equation:

$3x - 21 = -2x$

Add $2x$ to both sides of the equation:

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

$5x - 21 = 0$

Add 21 to both sides of the equation:

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

$5x = 21$

Divide both sides by 5:

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

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

3. Final Answer

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