https://file.aiquickdraw.com/mathbot/file/1725972094487lna5bnoz.jpg

Let's solve the equation step by step:

The given equation is:

\[
3(x - 1) = 29
\]

### Step 1: Expand the left-hand side
First, distribute the \( 3 \) to both terms inside the parentheses:

\[
3 \cdot (x - 1) = 3x - 3
\]

So, the equation becomes:

\[
3x - 3 = 29
\]

### Step 2: Isolate the term with \( x \)
Now, add \( 3 \) to both sides of the equation to eliminate the \( -3 \) on the left:

\[
3x - 3 + 3 = 29 + 3
\]

Simplifying:

\[
3x = 32
\]

### Step 3: Solve for \( x \)
Now, divide both sides by \( 3 \) to isolate \( x \):

\[
x = \frac{32}{3}
\]

So, the solution is:

\[
x = \frac{32}{3} \approx 10.67
\]

### Summary:
The exact solution is \( x = \frac{32}{3} \), or approximately \( 10.67 \).

---

Do you have any questions about these steps or need further clarification? Here are some follow-up questions you could explore:

1. What would the solution be if the equation were \( 3(x + 1) = 29 \)?
2. How does changing the coefficient in front of \( (x - 1) \) affect the solution?
3. Can you graph the equation and visualize the solution?
4. What happens if the right-hand side is changed to another value, say 50?
5. How does this problem change if you introduce a second variable?

**Tip:** Always remember to simplify the equation step by step, starting by expanding or distributing terms, then isolating the variable!

Learn how to solve the linear equation 3(x - 1) = 29 step-by-step. This problem covers key algebraic concepts, including the distributive property and properties of equality. Suitable for students in Grades 8-10.

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