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

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Multiple Choice

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

Explanation:
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.

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.

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