Let's solve the equation \( x + 23 = 2(x + 3) \).

### Step 1: Expand the right side
We distribute the 2 on the right-hand side:

\[
x + 23 = 2x + 6
\]

### Step 2: Move all terms involving \(x\) to one side
To do this, subtract \(x\) from both sides:

\[
23 = x + 6
\]

### Step 3: Isolate \(x\)
Subtract 6 from both sides:

\[
23 - 6 = x
\]

\[
x = 17
\]

### Final Answer: \( x = 17 \)

Would you like more details on the steps? 

Here are five related questions to practice:
1. Solve \( 2x + 10 = 3(x + 4) \).
2. What is the solution to \( 4(x - 5) = 2x + 6 \)?
3. Solve \( x - 7 = 4x + 5 \).
4. Find \(x\) in the equation \( 5x + 12 = 3(2x + 1) \).
5. Solve \( x + 10 = 3(x - 2) \).

**Tip**: Always distribute and simplify each side of the equation before moving terms around.

Learn how to solve the linear equation x + 23 = 2(x + 3) using the distributive property and basic algebraic techniques. This problem involves expanding, simplifying, and isolating the variable to find the solution. Suitable for students in Grades 6-8.

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