Let's solve the equation √(2x-7)^2 = 7 - 2x.
First, let's square both sides of the equation to get rid of the square root:
(2x-7)^2 = (7 - 2x)^2
Expanding both sides of the equation:
4x^2 - 28x + 49 = 49 - 28x + 4x^2
Now, let's simplify the equation by combining like terms:
4x^2 - 28x + 49 = 49 - 28x + 4x^2
The 4x^2 terms cancel out, and we are left with:
-28x + 49 = 49 - 28x
Now, let's simplify further by moving all the x terms to one side:
-28x + 28x = 49 - 49
0 = 0
Since the equation simplifies to 0 = 0, it means that the equation is true for all values of x. In other words, any value of x will satisfy the equation.
So, there is no specific solution for x in this equation.