$$ \frac{8476}{x} $$$$ \cdot45+32 $$=5900

To solve the equation 

\[ \frac{8476}{x} \cdot 45 + 32 = 5900, \]

follow these steps:

1. Simplify the left side of the equation:
\[ \frac{8476 \cdot 45}{x} + 32 = 5900 \]
\[ \frac{381420}{x} + 32 = 5900 \]

2. Subtract 32 from both sides to isolate the fraction term:
\[ \frac{381420}{x} = 5900 - 32 \]
\[ \frac{381420}{x} = 5868 \]

3. Solve for $ x $:
\[ \frac{381420}{x} = 5868 \]
\[ 381420 = 5868x \]
\[ x = \frac{381420}{5868} \]

4. Calculate the value of $ x $:
\[ x = \frac{381420}{5868} \approx 65 \]

So, $ x \approx 65 $.

Do you want details or have any questions?

Here are 8 related questions that expand on this information:

1. How would you verify the solution for $ x $ by substituting it back into the original equation?
2. What is the significance of the result $ x \approx 65 $ in the context of the equation?
3. Can you solve similar equations with different constants?
4. How would the solution change if the equation were $ \frac{8476}{x} \cdot 45 + 32 = 6000 $?
5. What are some real-life applications of solving equations like this?
6. How would you graph the equation $ \frac{381420}{x} + 32 = 5900 $ and its solution?
7. What happens to the value of $ x $ if the constant on the right side of the equation is increased?
8. How can you use logarithms to solve equations of this form?

**Tip:** When solving equations involving fractions, always isolate the fraction term first to simplify the problem.

Learn how to solve the equation 8476 divided by x times 45 plus 32 equals 5900 with a detailed step-by-step solution. This problem involves manipulating equations with fractions and arithmetic operations. Suitable for high school students.

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