To solve the equation \( 4x + 2 = x + 11 \):

1. Start by subtracting \( x \) from both sides to group the \( x \)-terms together:
   \[
   4x - x + 2 = 11
   \]
   This simplifies to:
   \[
   3x + 2 = 11
   \]

2. Next, subtract 2 from both sides to isolate the \( x \)-term:
   \[
   3x = 11 - 2
   \]
   Simplifying:
   \[
   3x = 9
   \]

3. Finally, divide both sides by 3 to solve for \( x \):
   \[
   x = \frac{9}{3} = 3
   \]

Thus, the solution is \( x = 3 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you solve \( 5x + 3 = 2x + 9 \)?
2. What happens if the equation is \( 4x + 2 = x + 5 \)?
3. Can you solve \( 6x - 7 = 3x + 5 \)?
4. What if the equation was \( 2(2x + 1) = x + 11 \)?
5. How do you handle equations with fractions like \( \frac{4x + 2}{2} = x + 11 \)?

**Tip:** Always start by simplifying both sides of the equation

Learn how to solve the linear equation 4x + 2 = x + 11 with a detailed step-by-step explanation. This algebra problem teaches students how to isolate the variable and apply basic equation-solving techniques. Suitable for Grades 6-8 students looking to strengthen their algebra skills.

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