Let's solve the equation step by step:

Given equation:
\[ 2(x - 1) + 3 = 9 \]

### Step 1: Distribute the 2 across the terms inside the parentheses.
\[ 2 \cdot x - 2 \cdot 1 + 3 = 9 \]
\[ 2x - 2 + 3 = 9 \]

### Step 2: Combine like terms on the left side.
\[ 2x + 1 = 9 \]

### Step 3: Subtract 1 from both sides to isolate the term with \( x \).
\[ 2x = 9 - 1 \]
\[ 2x = 8 \]

### Step 4: Divide both sides by 2 to solve for \( x \).
\[ x = \frac{8}{2} \]
\[ x = 4 \]

So, the solution is \( x = 4 \).

Would you like further details or have any other questions?

Here are 5 related questions:
1. How would you solve the equation if it was \( 2(x - 1) + 3 = 7 \) instead of 9?
2. What happens if the equation includes negative numbers, such as \( 2(x - 1) + 3 = -9 \)?
3. How can you check if your solution to the equation is correct?
4. How would you solve the equation if the distributive property involved a negative sign, such as \( -2(x - 1) + 3 = 9 \)?
5. What would the equation look like if we started with \( 2x + 5 = 9 \)?

**Tip:** Always check your final answer by substituting it back into the original equation to ensure both sides are equal.

Learn how to solve the equation 2(x - 1) + 3 = 9 step-by-step with detailed explanations. This problem involves algebraic equations and the distributive property, suitable for students in Grades 7-9.

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