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The image shows a proportion equation in Ukrainian, which translates to "Find the unknown term in the proportion." The equation is:

\[
\frac{2x + 3}{5} = \frac{7}{10}
\]

To solve for \( x \), follow these steps:

1. Cross-multiply the two ratios:
\[
(2x + 3) \cdot 10 = 5 \cdot 7
\]
\[
10(2x + 3) = 35
\]

2. Distribute the 10 on the left-hand side:
\[
20x + 30 = 35
\]

3. Subtract 30 from both sides to isolate the term with \( x \):
\[
20x = 5
\]

4. Divide by 20 to solve for \( x \):
\[
x = \frac{5}{20} = 0.25
\]

Thus, the value of \( x \) is \( 0.25 \).

Do you need more details or have any questions?

Here are five related questions to expand your understanding:
1. How would the solution change if the proportion was \( \frac{2x + 5}{5} = \frac{7}{10} \)?
2. What happens if the proportion is inverted, such as \( \frac{5}{2x+3} = \frac{10}{7} \)?
3. How can proportions be applied in real-life scenarios, such as in cooking or finance?
4. Can you solve proportions where both the numerator and denominator are polynomials?
5. How do proportions relate to the concept of similar triangles in geometry?

**Tip:** Cross-multiplication is a powerful tool to solve proportions quickly and efficiently!

Find the unknown term in the proportion: (2x + 3) / 5 = 7 / 10.

Learn how to solve the proportion (2x + 3) / 5 = 7 / 10 with a detailed step-by-step solution. This problem involves cross-multiplication and solving for the variable x. Suitable for students in Grades 6-8.

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