Solution:
1. Start with the given equation:
* 5x + 4z = 10z - 2x
2. Move the terms involving x to one side of the equation:
* 5x + 2x = 10z - 4z
3. Combine like terms:
* 7x = 6z
4. Solve for x by dividing both sides by 7:
* x = \frac{6z}{7}
Frequently asked questions (FAQs)
Math Question: What are the values of n, x, and y that satisfy Fermat's Last Theorem, stating that for any positive integer n greater than 2, there are no whole number solutions to the equation: x^n + y^n = z^n? Provide an example for n=3.
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What is the value of x in the equation log₂(x) + log₂(4) = log₂(16)?
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What is the square root of x squared minus 16, where x is a positive number?