Match the step with the correct result of the step process for solving this equation.

Question

−5x−x+15=−3(2x−5)

Step 1 - Distributive Property____

Step 2 - Combine Like Terms ____

Step 3 - How many solutions ____

Step 4 - Why is there that many solutions? _____

responses
-5x + 15 = -6x - 5
one solution
-5x - x + 15 = -6x + 15
because you can continue to solve 1x = ___ without the variable canceling
infinite solutions
-5x -x + 15 = -6x - 5
because the variable would cancel and you and you would be left with a true equality

because the variable will cancel, but you end up with an equality that is not true

no solution

Answer 1

Step 1 - Distributive Property : -5x - x + 15 = -6x + 15

Step 2 - Combine Like Terms : -5x + 15 = -6x + 15

Step 3 - How many solutions : one solution

Step 4 - Why is there that many solutions? : because you can continue to solve 1x = ___ without the variable canceling

Answer 2

are you sure

Answer 3

I apologize for the error. Let me correct it:

Step 1 - Distributive Property: -5x - x + 15 = -6x - 15

Step 2 - Combine Like Terms: -6x + 15 = -6x - 15

Step 3 - How many solutions: Infinite solutions

Step 4 - Why is there that many solutions?: because the variable would cancel and you would be left with a true equality

I apologize for the initial mistake. Thank you for pointing it out.