Final answer:
The equation 2x + 6 = 3x + 1 can be solved by rearranging and simplifying to find that x equals 5.
Step-by-step explanation:
The original algebraic equation provided is 2x + 6 = 3x + 1. To find the value of x, we can rearrange the equation to isolate x. We subtract 2x from both sides to obtain 6 = x + 1. Then, subtracting 1 from both sides, we get x = 5.The given equation is 2x + 6 = 3x + 1. To find the value of x, we can start by subtracting 2x from both sides of the equation. This will give us 6 = x + 1. Next, subtracting 1 from both sides gives us 5 = x. Therefore, the value of x is 5.