Emory. Find Mistake. Urgent. Hurry.

Question

Emory used these steps to solve the equation.

x + 7 = 3x + (−5).

1. Add 1 negative x-tile to both sides and create zero pairs.

2. Add 7 negative unit tiles to both sides and create zero pairs.

3. Divide the 12 negative unit tiles evenly among the 2 x-tiles.

4. The solution is x = −6.

Where did Emory make an error?

In step 1, he should have added 3 negative x-tiles to both sides.

In step 2, he should have added 5 positive unit tiles to both sides.

In step 3, he did not divide the tiles evenly.

In step 4, he should have found the solution x = 3

Answer 1

Step 2 is incorrect. If he already added 1 negative x-tile to both sides and created zero pairs, he did not need to add 7 negative tiles as well. The problem would've looked like:

x + 7 = 3x + (-5)

-x -x

7 = 2x + (-5)

So he does not need to add 7 negative unit tiles because we want x to be by itself. Instead he should have add 5 positive unit tiles to both sides to create zero pairs so it would be

7 = 2x + (-5)

+5 +5

12 = 2x

Then he divides the 12 unit tiles evenly among the 2 x-tiles which would then give the solution of:

6 = x or x = 6

Really hope this helped!!!

Answer 2

Step 3 is incorrect...Should have divided both sides by -2 and the answer would be 6.. not negative 6. Step one isn't necessary

x + 7 = 3x + (-5)

-x -x

7 = 2x + (-5)

+5 +5

12 = 2x

6 = x