Final answer:
The solution set for the equation 6x-2=5x+3 is x=5.
Step-by-step explanation:
To find the solution set for the equation 6x-2=5x+3, we first need to simplify the equation. By subtracting 5x from both sides, we get x-2=3. Then, by adding 2 to both sides, we get x=5. Therefore, the solution set for the equation is x=5.