### Video Transcript

Solve the equation negative six ๐ฅ minus one equals negative 23.

In order to solve this equation, we need to solve for ๐ฅ. Therefore, our first step to isolate ๐ฅ will be to get rid of the negative one and the opposite of subtracting one is adding one. And whatever we do to one side, we must do to the other. So negative one plus one is zero, which means they cancel, and then weโre left with a negative six ๐ฅ on the left-hand side of the equation. And then, negative 23 plus one is negative 22.

Now, thereโs only one step left to solve for ๐ฅ, to isolate it. We need to get rid of the negative six and the negative six is being multiplied to ๐ฅ. And the opposite of multiplying to ๐ฅ would be to divide. So we divide both sides of the equation by negative six. Negative six divided by negative six is a positive one. But one ๐ฅ is the same as ๐ฅ. So we can just write ๐ฅ.

And then on the right-hand side of the equation, negative 22 divided by negative six. Two negatives when dividing become a positive and 22 sixths can reduce. There is a number that goes into 22 and six. The largest number that goes into both would be two. 22 divided by two is 11 and six divided by two is three. So this means it reduces to 11 thirds. Solving our equation for ๐ฅ, we get that ๐ฅ is equal to 11 thirds.