Question

Which equation has only one solution?

Responses

3x+2=−3x+2

3 x + 2 = − 3 x + 2

−(7x−3)=−7x+3

− ( 7 x − 3 ) = − 7 x + 3

5(x+3)=5x+15

5 ( x + 3 ) = 5 x + 15

2x+1=−7+2x

Answer 1

The equation that has only one solution is 5(x+3)=5x+15.

Step-by-step explanation:

The equation that has only one solution is 5(x+3)=5x+15.

1. Multiply 5 by each term inside the parentheses: 5x + 15 = 5x + 15.
2. The variable terms, 5x, cancel out on both sides of the equation.
3. What remains is 15 = 15, which is a true statement.
4. This means that the equation is true for any value of x, so it has only one solution, which is all real numbers.