https://file.aiquickdraw.com/mathbot/file/1725843761178vdoklxoy.jpg

The equation from the image is:

\[
\frac{x - 10}{7} = \frac{x}{4}
\]

To solve for \( x \), we can use cross-multiplication. Let's proceed step-by-step:

1. **Cross-Multiply:**

\[
4(x - 10) = 7x
\]

2. **Distribute:**

\[
4x - 40 = 7x
\]

3. **Rearrange the equation to isolate \( x \):**

\[
4x - 7x = 40
\]

\[
-3x = 40
\]

4. **Solve for \( x \):**

\[
x = -\frac{40}{3}
\]

So, the solution is:

\[
x = -\frac{40}{3}
\]

If you have any questions or want more details on this process, please let me know!

### Related Questions:
1. How do you solve equations involving fractions?
2. What is the cross-multiplication technique, and when is it used?
3. How can you check if your solution to an equation is correct?
4. How do you handle equations where variables appear on both sides?
5. What happens if there are more terms or higher degrees in the equation?

### Tip:
When solving equations with fractions, it's often useful to clear the fractions by multiplying both sides by a common multiple, which simplifies the equation.

Learn how to solve the algebraic equation (x - 10)/7 = x/4 with a detailed step-by-step solution. This problem covers key concepts such as cross-multiplication and isolating variables. Suitable for students in Grades 8-10.

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