How many solutions does the equation 4x + 8 = 2 + 5x have?

To determine how many solutions the equation 4x + 8 = 2 + 5x has, we can start by rearranging the equation to isolate the variable x.

First, let’s move all terms involving x to one side of the equation and constant terms to the other side. We can do this by subtracting 4x from both sides:

4x + 8 - 4x = 2 + 5x - 4x

This simplifies to:

8 = 2 + x

Next, we want to isolate x by subtracting 2 from both sides:

8 - 2 = x

This gives us:

6 = x

So, we find that x = 6. This means that there is exactly one solution to the equation.

In summary, the equation 4x + 8 = 2 + 5x has one solution, which is x = 6.