Question

does the equation x = x + 3 have one solution, no solutions, or infinitely many solutions? subtract x from both sides of the equation and rewrite the remaining values. x = x + 3 -x -x \square = \square

Explanation:

Step1: Subtract $x$ from left side

$x - x = 0$

Step2: Subtract $x$ from right side

$x + 3 - x = 3$

Step3: Analyze resulting equation

$0 = 3$ is a false statement, so there are no values of $x$ that satisfy the original equation.

Answer:

The filled blanks are $0$ and $3$, and the equation has no solutions.