Solve the equation: 4x – 13 = 2x + 9.

To solve the equation (4x – 13 = 2x + 9), follow these steps:

1. Isolate the variable: Begin by getting all terms involving (x) on one side and constant terms on the other.

Subtract (2x) from both sides:

[

4x – 2x – 13 = 9

]

This simplifies to:

[

2x – 13 = 9

]

2. Add 13 to both sides to isolate the term with (x):

[

2x – 13 + 13 = 9 + 13

]

Which simplifies to:

[

2x = 22

]

3. Divide both sides by 2 to solve for (x):

[

x = frac{22}{2} = 11

]

Thus, the solution is (x = 11).

If you have any more questions or need further assistance, feel free to ask!