translate to an equation:A number is subtracted from ten and that result is multiplied by four. This result is then divided by three more than the number. The entire result is equal to six.

Let's break this down step by step:

1. "A number is subtracted from ten": Let the number be \( x \), so this expression becomes \( 10 - x \).
2. "That result is multiplied by four": This becomes \( 4(10 - x) \).
3. "This result is then divided by three more than the number": This expression becomes \( \frac{4(10 - x)}{x + 3} \).
4. "The entire result is equal to six": This gives us the final equation.

So, the equation is:

\[
\frac{4(10 - x)}{x + 3} = 6
\]

Would you like me to solve this equation for \( x \) or provide a further explanation?

Here are 5 related questions:
1. How do you solve rational equations like the one above?
2. What does it mean to cross-multiply in this context?
3. Can this equation have multiple solutions?
4. What happens if the denominator is zero?
5. How would the equation change if the final result was not 6 but some other number?

**Tip:** When solving equations with fractions, always check for values that make the denominator zero (undefined points).

translate to an equation: A number is subtracted from ten and that result is multiplied by four. This result is then divided by three more than the number. The entire result is equal to six.

Learn how to solve a rational equation where a number is subtracted from ten, multiplied by four, and divided by three more than the number. This step-by-step guide covers key algebraic concepts for students in Grades 8-10.

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