Solve the equation for x.

To solve the equation (2x + 22 = 4(x + 3)), follow these steps:

1. First, expand the right side:

(4(x + 3) = 4x + 12)

Now the equation looks like this:

(2x + 22 = 4x + 12)

2. Next, let’s get all the (x) terms on one side and constants on the other side. Subtract (2x) from both sides:

(22 = 4x – 2x + 12)

This simplifies to:

(22 = 2x + 12)

3. Now, isolate the (x) term by subtracting (12) from both sides:

(22 – 12 = 2x)

(10 = 2x)

4. Finally, divide both sides by (2) to solve for (x):

(x = frac{10}{2} = 5)

So, the solution is (x = 5). Great job working through this! If you need more help or have more questions, feel free to ask or check the extended services page for more assistance.