What is the solution set for 6x−2=5x+3 , given the replacement set {2, 3, 4, 5} ? a x = 2 b x = 3 c x = 4 d x = 5

In order to find the solution, we must solve for 'x' in the initial equation. What we do to one side of the equation to isolate 'x', we must do to the other. If we subtract 5x from both sides were are left with x - 2 = 3. We then add 2 to both sides to completely isolate 'x' and are left with x = 5. This is in the replacement set and is one of the provided solutions, D.