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

1. **Simplify the fractions** (if possible):
   \[
   \frac{6}{10} = \frac{3}{5}
   \]
   So the equation becomes:
   \[
   x - \frac{3}{5} = \frac{3}{5}
   \]

2. **Add \( \frac{3}{5} \) to both sides** of the equation to isolate \( x \):
   \[
   x = \frac{3}{5} + \frac{3}{5}
   \]

3. **Add the fractions**:
   \[
   x = \frac{6}{5}
   \]

So, the solution is \( x = \frac{6}{5} \), which can also be written as \( x = 1.2 \).

Would you like more details on any of these steps or have any questions?

Here are 5 related questions you might find interesting:
1. How do you solve equations with different denominators?
2. What is the process for adding fractions with unlike denominators?
3. How can you convert a fraction to a decimal?
4. What are the steps to solve equations with variables on both sides?
5. How can you check your solution to an equation?

**Tip:** When solving equations with fractions, it's often helpful to first simplify or clear the fractions to make the arithmetic easier.

Learn how to solve the linear equation x - 3/5 = 6/10 step-by-step. This solution simplifies fractions, adds fractions, and isolates the variable x, perfect for students in Grades 6-8. Key algebraic concepts include solving linear equations and working with fractions.

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