Solve the equation. 4x – 13 = 2x + 9

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

1. Isolate variables on one side: Start by subtracting (2x) from both sides:

[

4x – 2x – 13 = 9

]

This simplifies to:

[

2x – 13 = 9

]

2. Add 13 to both sides:

[

2x = 9 + 13

]

Which simplifies to:

[

2x = 22

]

3. Divide by 2:

[

x = frac{22}{2} = 11

]

The solution is (x = 11).