Question

How many solutions are there to the question below? 8(x-3)=8x-24

Answer 1

To make it easier to determine how many solutions are in the equation, I am going to solve it first.

Distribute 8:

8(x - 3) = 8x - 24

8x - 24 = 8x - 24

And what I see is that the left equals the right. This means that whichever value of x I stick into the equation, the other side will always be equal to that. In equations like this, there are infinite solutions, because every single value of x out there will make the equation true.

Answer 2

infinite number of solutions

Explanation:

8(x - 3) = 8x - 24 ← distribute parenthesis on left side

8x - 24 = 8x - 24

since the expressions on both sides are the same then any value of x will make the equation true.

thus there are an infinite number of solutions