Question

Which equation has infinitely many solutions?

Responses
a. 13(6x−12)=2(x−2)
b. 12(4x+8)=2x+8
c. 3(2x−7)=6(x−4)−3
d. 5(x+1)=3x+2(x+1)+4

Answer 1

The equation that has infinitely many solutions is option D, 5(x+1)=3x+2(x+1)+4.

Step-by-step explanation:

The equation that has infinitely many solutions is option D, 5(x+1)=3x+2(x+1)+4.

To determine this, we need to solve the equation and see if there are any restrictions on the values of x. Let's start by simplifying the equation:

5(x+1) = 3x + 2(x+1) + 4

5x + 5 = 3x + 2x + 2 + 4

5x + 5 = 5x + 6

At this point, we can see that the variables cancelled out. This means that no matter what value we substitute for x, the equation will always be true. Therefore, the equation has infinitely many solutions.