Diana wanted to make peanut brittle for a holiday party, so she bought a 16.5-ounce jar of peanuts at the grocery store. She used of the peanuts to make peanut brittle. The next
week, she split the remaining peanuts into 3 bags of trail mix for a hike with friends. How
many ounces of peanuts did Diana put in each bag of trail mix?

x = 2

Step-by-step explanation:

3 - 6x = -9

I see a lot of negative numbers, which can make an equation more difficult to solve. Let's make these numbers positive.

Add 6x to both sides.

3 = -9 + 6x

Add 9 to both sides.

12 = 6x

Now we want to isolate x by dividing both sides by 6.

2 = x

This is your answer.

Let's check it by plugging x = 2 back into the original equation.

3 - 6x = -9

3 - 6(2) = -9

3 - 12 = -9

-9 = -9

Your answer is correct.

Hope this helps!