Radical Equation:

Solve for x.

2x+6=1+2x-1

This is not an equation.

They are not equal. Subtracting 2x from both sides leaves you with 6 = 1-1

6 ≠ 0

To solve the radical equation 2x + 6 = 1 + 2x - 1, we first need to simplify the equation as much as possible.

First, combine like terms on both sides of the equation.
The 2x terms on both sides will cancel each other out.
The 6 on the left side will be added to the 1 on the right side, resulting in 7.

So, the simplified equation is:
7 = 7

At this point, notice that the equation is an identity, which means that it is true for any value of x. It does not have a unique solution.

Therefore, the equation 2x + 6 = 1 + 2x - 1 is called an identity equation, and it does not have a specific solution.