In the equation 5x - 2 = 3x + 6, what is the solution for x?

To find the solution for the equation 5x - 2 = 3x + 6, we first need to isolate the variable x. We can start by eliminating the term containing x on one side of the equation.

Subtracting 3x from both sides gives us:

5x - 3x - 2 = 3x - 3x + 6

This simplifies to:

2x - 2 = 6

Next, we eliminate the constant on the left side by adding 2 to both sides of the equation:

2x - 2 + 2 = 6 + 2

This results in:

2x = 8

To isolate x, we divide both sides by 2:

2x / 2 = 8 / 2

This simplifies to:

x = 4

Thus, the solution to the equation is x = 4. This corresponds to the correct answer choice.