If 𝑥 times seven minus negative
four equals negative six times 11 times two, what is the value of 𝑥?
Following the order of operations,
the first thing we want to do is solve what’s in the parentheses. That means solving seven minus
negative four and solving negative six times 11. Seven minus negative four is equal
to seven plus four. Seven plus four is 11. And then we bring down our 𝑥 and
On the left side, negative six
times 11 equals negative 66. We can bring down all the
information from the left side. Our new equation says 𝑥 times 11
equals negative 66 times two. Negative 66 times two equals
negative 132. 𝑥 times 11 equals negative
To find the value of 𝑥, we need 𝑥
by itself. To get 𝑥 by itself, we can divide
the left side of the equation by 11. 𝑥 times 11 divided by 11 equals
𝑥. The 11s cancel each other out. However, if we divide by 11 on the
left, we must divide by 11 on the right.
Negative 132 divided by 11 equals
negative 12. 𝑥 equals negative 12.