Solve the equation $5x + 4 = -2x - 24$ for $x$.

1. Problem Description

Solve the equation $5x + 4 = -2x - 24$ for $x$.

2. Solution Steps

The given equation is $5x + 4 = -2x - 24$.

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

$5x + 2x + 4 = -2x + 2x - 24$

$7x + 4 = -24$

Next, subtract 4 from both sides of the equation:

$7x + 4 - 4 = -24 - 4$

$7x = -28$

Finally, divide both sides of the equation by 7:

$\frac{7x}{7} = \frac{-28}{7}$

$x = -4$

3. Final Answer

$x = -4$