Question

The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?

Answer 1

Let's first write out the equation to do this, do you think you can do that?

Answer 2

no im confused

Answer 3

Well, let's take it apart
First
The difference of a number and 6
Let's make the number, x
So, x-6
Yea?

Answer 4

yea

Answer 5

Okay, so then we do
5 times the sum of the number and 2
So, this is, 5 times, the sum of x and 2
So, we do 5(x+2)
Yea?

Answer 6

Every time you see the term "a number" it means a variable,
so the difference between `a number` and 6 (the difference = minus/subtraction)
\(a~number-6\), but you have to actually name the "a number" variable, let's make it be \(n\)
when `a number`=n we would have \(n-6\)

Whenever you see `is` or `is the same (as)` it means an equal sign, because that's basically what an equal sign means. we have "is the same as 5 times the sum of the number and 2." What I've said before, "is the same as" is `=`,
it also says "5 times the sum of a number and 2", remember that "a number means a variable, and if its the sum of a number and 2 then "a number/variable" is getting added (because sum = addition) to 2. I don't know if they want this "a number" to be the same variable as the one before, but I'll just make it the same
we would have \(5(n+2)\)

So, putting together everything that was previously said:
"The difference of a number and 6 = \(\color{red}{n-6}\)"
"is the same as 5 times the sum of the number and 2.=\(\color{red}{=5(n+2)}\)"
putting that together we should get \(\color{lightskyblue}{n}\color{pink}{-}6\color{red}{=}\color{yellow}{(}\color{lightskyblue}{n}\color{hotpink}{+}2\color{yellow}{)}\)

Sorry if my explaining was bad, I just woke up 😶