Solve for x: 4(x - 3) = 2x + 10.

To solve the equation 4(x - 3) = 2x + 10, start by distributing the 4 on the left side. This gives you:

4x - 12 = 2x + 10.

Next, you want to isolate the variable x. You can do this by getting all terms involving x on one side of the equation and constant terms on the other. First, subtract 2x from both sides:

4x - 2x - 12 = 10.

This simplifies to:

2x - 12 = 10.

Now, add 12 to both sides to isolate the term with x:

2x - 12 + 12 = 10 + 12.

This results in:

2x = 22.

Next, divide both sides by 2 to solve for x:

x = 22 / 2,

which simplifies to:

x = 11.

Thus, the correct solution for x is 11.