What is the value of x in the equation 5x - 2 = 3x + 6?

To find the value of x in the equation 5x - 2 = 3x + 6, start by isolating x. First, you can eliminate the term involving x from one side of the equation. Subtract 3x from both sides:

5x - 3x - 2 = 6.

This simplifies to:

2x - 2 = 6.

Next, to further isolate the term with x, add 2 to both sides:

2x - 2 + 2 = 6 + 2.

This results in:

2x = 8.

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

2x/2 = 8/2.

This gives:

x = 4.

Thus, the value of x in this equation is 4, making the correct answer accurate. By following these steps, you correctly isolate the variable and solve the equation systematically.