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You can add or subtract the same number to both sides of an equation without changing the solution, so adding 4 to both sides yields |5x| = 20. Since 5 is positive, it can be moved outside the absolute value: 5*|x| = 20. You can multiply or divide both sides of the equation by any non-zero number, so you can divide both sides by 5 to get |x| = 4.

So x is either 4 or -4, will solve your equation. If you want to write the equation without using absolute value, you can write a quadratic equation which has solutions of 4 and -4: (x + 4)(x - 4) = 0 --> x² - 16 = 0

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Q: What are some equivalent equations for -4 plus the absolute value of 5x equals 16?
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