How do you solve for x in the equation 3x + 1 = 2x + 6?

To solve for x in the equation 3x + 1 = 2x + 6, follow these steps:

1. Start with the original equation: 3x + 1 = 2x + 6.
2. Subtract 2x from both sides to get the terms involving x on one side:

3x – 2x + 1 = 6

3. This simplifies to:

x + 1 = 6

4. Next, subtract 1 from both sides to isolate x:

x = 6 – 1

5. This results in:

x = 5

So, the solution to the equation is x = 5. You can verify this by plugging the value of x back into the original equation:

3(5) + 1 = 15 + 1 = 16

2(5) + 6 = 10 + 6 = 16

Since both sides are equal, the solution is confirmed.