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