Let's solve the equation:

$4x - 9 = 2x + 3$

Step 1: Move all terms with $x$ to one side of the equation and constants to the other side.

Subtract $2x$ from both sides:

$4x - 2x - 9 = 2x - 2x + 3$

Simplifying:

$2x - 9 = 3$

Step 2: Move the constant on the left side to the right side.

Add 9 to both sides:

$2x - 9 + 9 = 3 + 9$

Simplifying:

$2x = 12$

Step 3: Solve for $x$.

Divide both sides by 2:

$x = \frac{12}{2}$

Simplifying:

$x = 6$

Final Answer:

$x = 6$

Would you like further explanation, or have any additional questions?

Here are 5 related questions you might find interesting:

1. How do you solve equations with fractions, like $\frac{3}{4}x - 2 = \frac{1}{2}x + 4$?
2. What is the method for solving a system of linear equations using substitution?
3. How do you solve quadratic equations like $x^2 - 5x + 6 = 0$?
4. Can you solve an inequality like $2x - 5 > 3x + 2$?
5. What are the differences between solving linear and nonlinear equations?

Tip: When solving linear equations, always aim to isolate the variable on one side, keeping track of constants and coefficients carefully!