Solve the proportion. If necessary, round to the nearest hundredth.

 x-3/5=6/10

To solve the proportion \(\frac{x - 3}{5} = \frac{6}{10}\), follow these steps:

1. **Cross-multiply**: Multiply both sides of the equation by the denominators to eliminate the fractions.
\[
(x - 3) \cdot 10 = 6 \cdot 5
\]
\[
10(x - 3) = 30
\]

2. **Distribute**: Multiply out the left-hand side.
\[
10x - 30 = 30
\]

3. **Isolate \(x\)**: Add 30 to both sides of the equation to move constants to one side.
\[
10x = 60
\]

4. **Solve for \(x\)**: Divide both sides by 10.
\[
x = 6
\]

Thus, the solution is \(x = 6\).

Would you like more details on any of the steps? Here are some related questions you might find helpful:

1. What are proportions, and how are they used in math?
2. How do you cross-multiply to solve a proportion?
3. What are some common mistakes when solving proportions?
4. How can proportions be applied in real-life problems?
5. How do you simplify complex proportions?

**Tip:** Always double-check your cross-multiplication to ensure you don’t accidentally swap the terms.

Solve the proportion. If necessary, round to the nearest hundredth. x - 3/5 = 6/10

Learn how to solve the proportion x - 3/5 = 6/10 by using cross-multiplication. Follow a detailed step-by-step solution with key algebraic concepts explained. This problem is suitable for students in Grades 6-8 and helps in understanding proportions and their applications.

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