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

AlgebraAbsolute Value EquationsEquation SolvingNo Solution
2025/6/8

1. Problem Description

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

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| + 10 - 10 = 2 - 10
∣5x+4∣=−8|5x + 4| = -8
The absolute value of any expression must be non-negative. Since ∣5x+4∣|5x+4| equals -8, which is negative, there are no real solutions to this equation.

3. Final Answer

No solution.

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