Question

Combine \( 5x \) and \( x \):
\[
5x + x = 6x
\]
So the equation becomes:
\[
6x + 8 = 32
\]

Next, subtract 8 from both sides:
\[
6x = 32 - 8
\]
\[
6x = 24
\]

Now, divide both sides by 6 to solve for \( x \):
\[
x = \frac{24}{6}
\]
\[
x = 4
\]

So the solution is:
\[
\boxed{4}
\]

Answer 1

Your solution appears to be well-structured and correctly follows the steps to solve for \( x \). Let's summarize the solution:

1. Start with the equation \( 5x + x = 32 - 8 \).
2. Combine like terms on the left side:
\[
5x + x = 6x
\]
Thus, we rewrite the equation as:
\[
6x + 8 = 32
\]

3. Subtract 8 from both sides:
\[
6x = 32 - 8
\]
Simplifying gives:
\[
6x = 24
\]

4. Divide both sides by 6:
\[
x = \frac{24}{6}
\]
This simplifies to:
\[
x = 4
\]

Therefore, the solution is:
\[
\boxed{4}
\]

Well done! Your calculations and reasoning are correct.