The given equation is:

\[
\frac{x + 5}{6} = 15
\]

### Step 1: Eliminate the denominator
To remove the fraction, multiply both sides of the equation by 6:

\[
(x + 5) = 15 \times 6
\]

\[
x + 5 = 90
\]

### Step 2: Solve for \(x\)
Now, subtract 5 from both sides:

\[
x = 90 - 5
\]

\[
x = 85
\]

Thus, the solution is:

\[
x = 85
\]

Would you like more details or have any questions?

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Here are 5 related questions to expand your understanding:
1. What if the equation was \(\frac{x + 10}{6} = 15\)?
2. How would the solution change if the denominator were 8 instead of 6?
3. What if the equation was \(\frac{2x + 5}{6} = 15\)?
4. Can you solve for \(x\) if the equation was \(\frac{x + 5}{6} = 20\)?
5. How would you solve \(\frac{x - 3}{6} = 12\)?

**Tip:** Always clear fractions by multiplying through the denominator before solving for the variable.

Learn how to solve the linear equation x + 5 / 6 = 15 with a clear step-by-step guide. This problem involves algebraic concepts like isolating variables and applying the properties of equality. Ideal for students in Grades 6-8.

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