https://file.aiquickdraw.com/mathbot/file/1729635179681l5sroftm.jpg

The equation from the image is:

\[
5 \left( \frac{8760x}{1000} \right) = 5 \left( \frac{2336x}{1000} \right) + 250
\]

We can simplify and solve this step by step:

1. Divide both sides of the equation by 5 to simplify the coefficients:

\[
\frac{8760x}{1000} = \frac{2336x}{1000} + 50
\]

2. Multiply the entire equation by 1000 to eliminate the denominators:

\[
8760x = 2336x + 50000
\]

3. Subtract \(2336x\) from both sides to get all terms with \(x\) on one side:

\[
8760x - 2336x = 50000
\]

\[
6424x = 50000
\]

4. Finally, divide both sides by 6424 to solve for \(x\):

\[
x = \frac{50000}{6424} \approx 7.78
\]

So, the value of \(x\) is approximately **7.78**.

Would you like more details or have any questions?

### Related questions:
1. How do you handle similar equations with different coefficients?
2. What is the effect of dividing both sides by the same number in an equation?
3. Can this equation-solving method be applied to systems of equations?
4. How would rounding affect the solution in this problem?
5. How can you verify if the solution is correct by substituting it back?

### Tip:
When solving equations, always check if simplifying first (like dividing out common factors) can make the process easier.

Learn how to solve the linear equation 5(8760x / 1000) = 5(2336x / 1000) + 250 with a step-by-step explanation. This algebra problem covers concepts like equation simplification and isolating variables. Suitable for students in Grades 9-10.

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