If x + 3 = x - 5, what is the value of x?

To solve the equation ( x + 3 = x - 5 ), we start by isolating ( x ). First, we can move ( x ) from the right side to the left side by subtracting ( x ) from both sides of the equation:

[ x + 3 - x = x - 5 - x

]

This simplifies to:

[ 3 = -5 ]

The statement ( 3 = -5 ) is clearly false, indicating that there is no value of ( x ) that can satisfy the original equation. Consequently, the proper conclusion is that there are no solutions to this equation.

Therefore, the answer indicating no solution is the correct choice.