2x + 3 = 2x + 7 =?

1 answer

The equation \( 2x + 3 = 2x + 7 \) cannot hold true for any value of \( x \).

To see why, let's simplify it:

  1. Start with the equation: \[ 2x + 3 = 2x + 7 \]

  2. Subtract \( 2x \) from both sides: \[ 3 = 7 \]

This statement is false. Therefore, there is no solution for \( x \), indicating that the two expressions are not equal for any \( x \).

So, the answer is that there is no solution, or that the equation has no validity.