We are given the equation:

\[
\frac{x + 10}{13} = 2
\]

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

1. **Multiply both sides of the equation by 13** to eliminate the denominator:

\[
x + 10 = 2 \times 13
\]

\[
x + 10 = 26
\]

2. **Subtract 10 from both sides** to solve for \( x \):

\[
x = 26 - 10
\]

\[
x = 16
\]

Thus, the solution is:

\[
x = 16
\]

Would you like more details on any of these steps?

Here are 5 related questions to expand your understanding:
1. How would you solve \( \frac{x - 5}{7} = 3 \)?
2. What happens if the equation is \( \frac{3x + 5}{8} = 4 \)?
3. How do you handle equations involving variables in both the numerator and denominator, like \( \frac{2x + 3}{x - 1} = 5 \)?
4. How do you solve \( \frac{x}{a} = b \) in terms of \( x \) and \( a \)?
5. What if the equation involves decimals, like \( \frac{x + 2.5}{4.5} = 1.2 \)?

**Tip:** Always clear fractions by multiplying both sides of the equation by the denominator to simplify the problem.

Learn how to solve the linear equation \( \frac{x + 10}{13} = 2 \) with a detailed step-by-step explanation. This problem covers key algebra concepts such as eliminating fractions and isolating the variable. Suitable for students in Grades 6-8.

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