To solve the equation 2x + 3 = 5x + 5 – 2x + 6, we first need to simplify and rearrange it.
1. Combine like terms on the right side of the equation:
5x + 5 – 2x + 6 simplifies to 3x + 11.
2. Now the equation looks like this:
2x + 3 = 3x + 11.
3. Next, we want to isolate the variable x. We can do this by subtracting 2x from both sides:
3 = 3x – 2x + 11 which simplifies to 3 = x + 11.
4. Now, subtract 11 from both sides to solve for x:
3 – 11 = x, which gives us -8 = x.
Therefore, the value of x is -8.