To solve the equation 2x + 3 = -x + 6, we need to isolate the variable x.

First, let's combine like terms by adding x to both sides of the equation:

2x + x + 3 = -x + x + 6

This simplifies to:

3x + 3 = 6

Next, let's isolate the term with x by subtracting 3 from both sides of the equation:

3x + 3 - 3 = 6 - 3

This simplifies to:

3x = 3

Finally, let's solve for x by dividing both sides of the equation by 3:

3x/3 = 3/3

This simplifies to:

x = 1

Therefore, the solution to the equation 2x + 3 = -x + 6 is x = 1.