The problem asks to solve the equation $|5x + 4| + 10 = 2$ for the variable $x$.

1. Problem Description

The problem asks to solve the equation $|5x + 4| + 10 = 2$ for the variable $x$.

2. Solution Steps

First, isolate the absolute value term by subtracting 10 from both sides of the equation:

$|5x + 4| + 10 - 10 = 2 - 10$

$|5x + 4| = -8$

The absolute value of any expression must be non-negative. Since $|5x+4|$ equals -8, which is negative, there are no real solutions to this equation.

3. Final Answer

No solution.