Question

2025 fall review
u2. solve the following absolute value equation for x:
2|5x| + 10 = 100
x=□ or □ (responses may be in either order)

Explanation:

Step1: Isolate the absolute value term

Subtract 10 from both sides of the equation \(2|5x| + 10 = 100\).

$$
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Then divide both sides by 2:

$$
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$$

Step2: Solve the absolute value equation

The absolute value equation \(|5x| = 45\) means that \(5x = 45\) or \(5x = -45\).
For \(5x = 45\), divide both sides by 5:

$$
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For \(5x = -45\), divide both sides by 5:

$$
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$$

Answer:

\(x = 9\) or \(x = -9\)