 f left parenthesis x plus 6 right parenthesisequals 8x plus 5

The given equation is:

\[
(x + 6) = 8x + 5
\]

### Solving step by step:

1. Start by subtracting \(x\) from both sides to get all terms with \(x\) on one side:
   \[
   6 = 7x + 5
   \]

2. Subtract 5 from both sides to isolate the term with \(x\):
   \[
   6 - 5 = 7x
   \]
   \[
   1 = 7x
   \]

3. Divide both sides by 7 to solve for \(x\):
   \[
   x = \frac{1}{7}
   \]

So, the solution is:
\[
x = \frac{1}{7}
\]

Would you like more details on any step or have questions?

Here are 5 related questions for further practice:
1. Solve: \(2(x + 4) = 6x + 3\)
2. Solve: \(5(x - 2) = 3x + 10\)
3. Solve: \(x + 8 = 4x - 7\)
4. Solve: \(7x - 3 = 5x + 11\)
5. Solve: \(2x + 5 = x + 9\)

**Tip:** When solving linear equations, always move terms with the variable to one side and constants to the other side before isolating the variable.

Learn how to solve the linear equation (x + 6) = 8x + 5 with step-by-step guidance. This problem demonstrates algebraic techniques, including isolating the variable and solving for x. Suitable for students in Grades 6-8.

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